Question

if a and b are the zeros of the polynomial x2+bx+c find the value of a2+b2

Answer 1

Given Polynomial:

p(x)=x²+bx+c

To find:a²+b²

Solⁿ: We know,

a+b=-b/a

ab=c/a

From identity,

a²+b²=(a+b)²-2ab....i

Now,

putting the values of ab and a+b in i

so, a²+b²=(-b/a)²-2(c/a)

= b²/a²-2c/a. {by LCM}

a²+b²= b²-2ac/a²

Thank you

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