Question

Solve the equation y=2x^2-x-6 using the quadratic formula show the steps to solving

Answer 1

x = -1 ± √7

The picture explains the rest...

Answer 2

`x1 = 2 \\ x2 = - (3)/(2)`

Explanation:

`x = \frac{ - b + - \sqrt{ {b}^(2) - 4ac } }{2a} \\ x = \frac{1 + - \sqrt{ {( - 1)}^(2) - 4(2)( - 6) } }{2(2)} \\ x = (1 + - √(1 + 48) )/(4) \\ x = (1 + - √(49) )/(4) \\ x = (1 + - 7)/(4) \\ \\ x1 = (1 + 7)/(4) = (8)/(4) = 2 \\ x2 = (1 - 7)/(4) = - (6 )/(4) = - (3)/(2)`