Question

If alpha and beta are the zeros of the quadratic polynomial AXsquare+bx +c . Find the value of alpha square +beta square​

Answer 1

Answer:

Quadratic equation=ax²+bx+c

Then,alpha+beta=-b/a

,alpha×beta=c/a

Now,alpha+beta=-b/a

(alpha+beta)²=(-b/a)².

{Both side squaring}

alpha²+beta²+2alpha.beta=b²/a²

alpha²+beta²+2×c/a=b²/a²

alpha²+beta²+2c/a=b²/a²

alpha²+beta ²=b²/a²-2c/a

alpha ²+beta²=b²-2ac/a²

Step-by-step explanation: