Question

if alfa and beta isa zeros of quadratic polynomial ax2+bx+c the the value alfa2+beta2
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Answer 1

Gudnyt

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If α and β are the zeroes of the polynomial ax² + bx + c then,

α + β = -b/a

αβ = c/a

We know that,

α² + β²

= (α + β)² - 2αβ

= (-b/a)² - 2c/a

= b²/a² - 2c/a

= (b² -  2ac)/a²

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