SOLUTION: if a side of a square is increased by 6 units, its area is 100 sq units. What is the length of a side of the square?

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Question 941643: if a side of a square is increased by 6 units, its area is 100 sq units. What is the length of a side of the square?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = length of side (units)
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(x + 6)(x + 6) = 100
xx + 12x + 36 - 100 = 0
xx + 12x - 64 = 0
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the above quadratic equation is in standard form, with a=1, b=12 and c=-64
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 12 -64
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 4
x = -16
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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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