Question

Use the quadratic formula to find the solutions to the quadratic equation

below. Check all that apply.
3x²-x-2=0
▬
|
■
A.
B.
C.
W|N
E.
312
D. -1
54
F. 1

Answer 1

`x = 1` or
`x = -(2)/(3)`

Explanation:

3x² - x - 2 = 0

a = 3; b = -1; c = -1

`x = (-b \pm √(b^2 - 4ac))/(2a)`

`x = (-(-1) \pm √((-1)^2 - 4(3)(-2)))/(2(3))`

`x = (1 \pm √(1 - (-24)))/(6)`

`x = (1 \pm √(25))/(6)`

`x = (1 \pm 5)/(6)`

`x = (6)/(6)` or
`x = (-4)/(6)`

`x = 1` or
`x = -(2)/(3)`