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Ex 4.2 class 10 | A cottage industry produces a certain number of pottery |Quadratic Equations [Q6] - YouTube
Channel: R&H Academy
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welcome to our age academy channel
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question 6 of excise 4.2 says
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given your question total cost of
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production
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on a day all our day is rupees 90.
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cost of production of each article
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each article means one article is
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three more than twice
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the number of articles produced on a day
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means one day so this is the cost of
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production
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of a day one day
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this is the cost of production of each
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article
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that means one article
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and this is the number of articles
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produced on a day means one day
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so we will assume that number of
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articles produced in a one day
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is x so let
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no dot stands for number
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substitute x in above
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so cost of production will be 3
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plus 2 x atq
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stands for according to question yes
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so number of articles produced
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on a day multiplied cost of production
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of
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each article is equals to total cost
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now try to understand it with the help
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of an example suppose
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you own a factory the 12 are the number
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of articles produced in your factory
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the cost of every item is
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two rupees now this is the cost and
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these are
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articles produced what will be the total
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cost
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obviously 24 i hope you understand
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number of articles produced on a day on
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x
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cost of production of each article is 3
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plus 2x
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which is equal to 90.
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multiply x by 3
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equal to 3x multiply
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x by 2x which is equal to
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2 x squared
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equal to 90 now
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transpose 90 to
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the left side 3x plus 2x square
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minus 90 is equal to zero now rearrange
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the terms
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2x square plus 3x
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minus 90 is equal to zero
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you splitting the middle term to
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factorize the quadratic equation
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step one was to multiply coefficient of
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x square
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which is two and constant to multiply 90
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is 180
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find the factors of 180
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if you're facing problem in factorizing
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a quadratic equation
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i recommend you to watch my previous
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videos
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one it is divisible by 2 90 is divisible
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by 2
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and 45 is divisible by 3
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15 is divisible by 3 and 5 is divisible
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by
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5. so factors of 180 are
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two multiply two multiply three multiply
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three multiplied once
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rearrange them to get three two
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multiplied to multiply three
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is 12 and 3 multiply 5
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is 15 and 12
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minus 15 is 3
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so 2 x square plus 15x
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minus 12x minus 90
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is equal to 0 pair the first one the
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last two terms
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x is common into x square and 15x
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so take it out remaining terms are 2x
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plus 15
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12x and 90 are divisible by 6.
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2x 15 is common
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so 2x 15 multiply x minus 6 is equals to
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0 so values of x are
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which is equal to minus 15
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and x is equals to minus 15 by 2.
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x minus 6 is equal to 0 so x is
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6. x denotes the number of
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articles produced in a dip articles
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means item
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and can our item be negative number so
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x will be our 6
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and what is the cost of each article
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2 multiply 6 plus 3
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which is equal to rupees
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15 so six articles were produced in a
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day
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and cost of one article is rupees 15.
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[Music]
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