Question

3x^2+5x-12 solved by using quadratic formula

Answer 1

`x = (4)/(3)` or
`x = -3`

Explanation:

3x^2 + 5x - 12

To solve it, you need an equation, so I think you mean this equation.

3x^2 + 5x - 12 = 0

Using the quadratic formula, you have a = 3, b = 5, c = -12.

`x = (-b \pm √(b^2 - 4ac))/(2a)`

`x = (-5 \pm √(5^2 - 4(3)(-12)))/(2(3))`

`x = (-5 \pm √(25 + 144))/(6)`

`x = (-5 \pm √(169))/(6)`

`x = (-5 \pm 13)/(6)`

`x = (8)/(6)` or
`x = (-18)/(6)`

`x = (4)/(3)` or
`x = -3`