Question

Find the zeroes of the quadratic polynomial 2x2-3x+2 and verify the relationship between the zeroes and the coefficients*​

Answer 1

$dividing \: the \: equation \: by \: 2 \: we \: get \: {x}^{2} - \frac{3}{2} x + 1 \\ so \: using \: x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ here \: a = 1 \\ b = - \frac{3}{2} \\ c = 1 \\ so \: we \: get \: x = \frac{3 - \sqrt{7} i}{4} and \: \frac{3 + \sqrt{7} i}{4}$

Relation :

$quadratic \: equation \: is \: given \: by \: {x}^{2} \times (sum \: of \: roots)x + (product \: of \: roots)$