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If alpha and beta are the zeros of the quadratic polynomial f(x)=ax^2+bx+c, then evaluate alpha - beta

Posted by Ronak Jain 3 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Mahi Mishra 3 years, 6 months ago

If α and β are the zeros of the quadratic polynomial f(x)=ax2+bx+c, then evaluate α−β sum of zeros =α+β=a−b product of zero =αβ=ac Moreover, we have (α−β)2=(α+β)2−4αβ a2b2−a2c2 ⇒ α−β=a±b2−c2

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CBSE > Class 10 > Mathematics