Question

If alpha,beeta are the roots of x^2+x+1 then alpha^2 and beeta ^2

Answer 1

AnSwEr

• Taking Alpha =A and Beta=B

${\tt{\red{\underline{\large{Given}}}}}$

• A quadratic polynomial
• X²+X+1

${\sf{\green{\underline{\large{To\:find}}}}}$

• A²+B²

${\sf{\pink{\underline{\Large{Explanation}}}}}$

We know that

A+B=-b/a

A×B=c/a

Then

(A+B)²=A²+B²+2AB

¶utting the value

=>(1)²=A²+B²+2×1

=>A²+B²=-1

Hence value of A²+B²is -1