Question

If alpha and beta are the zeros of the quadratic polynomial f x is equals to X square + bx + c then evaluate Alpha square plus beta square

Answer 1

If alpha and beta are the zeros of the quadratic polynomial,

alpha(x)+ beta(y)= - b/a

x² + y² =(x+y)² - 2xy

=(-b/a)² - 2×c/a

= b²/a² - 2×c/a

x²+y² = (b²-2ac)/a²

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