Question

9x²+7x-2=0 find it's real root ​

Answer 1

The Given Quadratic Equation is bx + c = 0

$\sf \: so \: \: \: \: \: a = 9 \: \: \: \: \: \: \: \: \: \: b = 7 \: \: \: \: \: \: \: \: c = - 2$

We Know That Determinant (D) = b²– 4ac

• $\sf \: (D) = {7}^{2} - 4 \times 9 \times - 2$

• $\sf \: (D) = 49 - 36 \times - 2$

• $\sf \: (D) = 49 + 72$

• $\boxed{ \underline \color{skyblue}{\sf \: (D) = 121 > 0}}$

The Determinant of The Equation is Positive So,

The Expression Contains Real Root.

Hope Helps~