Question 928510: Each side of a square is 4 m long. When each side is increased by x m the area is multiplied by 4. Find the value of x
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! original area:
a = 4*4 = 16
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new area:
(4 + x)(4 + x) = 16*4
xx + 8x + 16 - 64 = 0
xx + 8x - 48 = 0
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the above quadratic equation is in standard form, with a=1, b=8 and c=-48
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 8 -48
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the quadratic has two real roots at:
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x = 4
x = -12
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the negative root doesn't fit the problem statement, so use the positive root:
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answer:
x = 4
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