SOLUTION: Find the side of a square whose diagonal is 6 ft longer than a side.

Question 818436: Find the side of a square whose diagonal is 6 ft longer than a side.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
d = sqrt( ss + ss )
d = s + 6
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d = sqrt( ss + ss )
dd = ss + ss
(s + 6)(s + 6) = 2s^2
s^2 + 12s + 36 = 2s^2
s^2 - 12s - 36 = 0
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the above quadratic equation is in standard form, with a=1, b=-12, and c=-36
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to solve the quadratic equation, by using the quadratic formula, plug this:
1 -12 -36
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two solutions), of the quadratic are:
s = 14.4852814
s = -2.48528137
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the negative root doesn't make sense for length, so use the positive root:
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answer:
s = 14.4852814 ft
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Solve quadratic equations, quadratic formula:
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