Question

4x^2+x-2
solve for x

Answer 1

4x² + x - 2

4x² + x - 2 = 0

This is a Quadratic equation.

i.e. ax² + bx + c = 0

Here ,

• a = 4
• b = 1
• c = -2

Solving with Quadratic formula ,

$x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 1 ± \sqrt{ {1}^{2} - 4(4)( - 2) } }{2 \times 4} \\ x = \frac{ - 1 ± \sqrt{1 - ( - 32 )} }{8} \\ x = \frac{ - 1 ± \sqrt{1+32} }{8} \\ x = \frac{ - 1 ± \sqrt{33} }{8}$