Let ABC be three sides of a triangle, and prove that x ^ 2 + 2cx-b ^ 2 = 0, x ^ 2 + 2aX + B ^ 2 = 0 have common roots if and only if It's angle a = 90 degrees There's no need to answer. I've handed in my papers

Let ABC be three sides of a triangle, and prove that x ^ 2 + 2cx-b ^ 2 = 0, x ^ 2 + 2aX + B ^ 2 = 0 have common roots if and only if It's angle a = 90 degrees There's no need to answer. I've handed in my papers

x^2+2cx-b^2=x^2+2ax+b^2
2cx=2ax+2b^2
b^2=(c-a)x
a^2-c^2=(c-a)x
x=-a-c

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