Question

if one zero of the polynomial (a2+a)x2 +13x +6x is reciprocal of the other, find the value of a

Answer 1

Here,

P(x) = ${(a^2+a)x^2 + 13x + 6}$

Let us consider the two roots as ${\huge{\frac{1}{a}}}$ and a.

Therefore ,

Product of roots = ${\huge{\frac{1}{a}}}$ * a

Product of roots = 1

After this , see the attachment .

$\underline{\mathfrak{\huge{Thank\: You}}}$