Question

check whether the equation X square - 7 x square + 2 is equal to zero has real roots and if has find the discriminant​

Answer 1

Answer:

Given polynomial is:

$- 7 {x}^{2} + {x}^{2} + 2 = 0$

$- 6 {x}^{2} + 2 = 0$

For this equation to have real roots it is important for discriminant to be greater than zero.

$d ( = {b}^{2}- 4ac )> 0$

$0 - 4 \times - 6 \times2 > 0$

$48 > 0$

Since the equation is satisfied therefore discriminant is 48.