Question

If alpha beta are the zeros of x square + 5 x + 2 then find Alpha square plus beta square

Answer 1

AnSwEr

Taking alpha = A

Beta = B

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

• x²+5x+2 is a polynomial
• where A and B is its zeros

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

• A²+B²

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

We know that

=>A + B = -b/a = -5

=>AB = c/a = 2

Now solving A²+B²

• (A+B)² = A²+B² + 2AB

_______________________________

=>(A+B)² = A²+B² + 2AB

=>(-5)² = A²+B²+2×2

=>25=A²+B²+4

=>A²+B²=21

_______________________________

Hence value A²+B² is 21