SOLUTION: solve for x in the right triangle (Pythagorean theorem) A-6x B-9x-6 C-60

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Question 415045: solve for x in the right triangle (Pythagorean theorem)
A-6x
B-9x-6
C-60
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(9x-6)^2= (6x)^2+60^2
81x^2-108x+36=36x^2+3600
45x^2-108x-3564=0
9
5x^2-12x-396=0
Find the roots of the equation by quadratic formula
a= 5 , b =-12 , c =-396 .
b^2-4ac=8064
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29

x1=%2812%2Bsqrt%288064%29%29%2F%2810%29
x1= 10.18
...
x2=%2812-sqrt%288064%29%29%2F%2810%29
x2=-7.78