SOLUTION: x^2 + (2x+4)^2 = 26^2 Show work please.
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Question 475477: x^2 + (2x+4)^2 = 26^2 Show work please.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If you know that 10, 24, 26 can be the sides of a right triangle, we've already found a solution. However, quadratics always have two solutions so we have to expand or show that x = 10 is the only solution.
Expanding, we get
 = 676)
We know x = 10 works, so factor this out:
(x-r) = 0)
where r is the other root. The constant term in our quadratic is -660, so 50r = -660, r = -66/5.
(x + \frac{66}{5}))
The solutions are {10, -66/5}.
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