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 * 9 * - 2`

• 
  `\sf \: (D) = 49 - 36 * - 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~