Question

Determine nature of root of the quadratic equation x^2+2x-9=0

Answer 1

so, the roots are real and unequal.

Answer 2

$d = b ^{2} - 4ac$
here , a = 1 , b= 2 , & , c = -9.
$2 ^{2} - 4 \times 1 \times ( - 9)$
4 + 36 = 40. since , d = 40 > 0 hence , given equation has real and distinct roots.