Question

if the product of the zeros of the polynomial (a×2-6×-6) is 4, find the value of a.​

Answer 1

$Given \: Quadratic \: polynomial : ax^{2}-6x-6$

$Product \:of \: zeroes = 4$

$\implies \frac{ Constant \:term}{Coefficient \:of \:x^{2}} = 4$

$\implies \frac{-6}{a}= 4$

$\implies \frac{-6}{4} = a$

$\implies a = \frac{-3}{2}$

Therefore.,

$\red{ Value \: of \:a}\green { = \frac{-3}{2}}$

•••♪