Question

Show all work to solve 3x2 - 5x – 2 = 0.

Answer 1

2, -1/3

Explanation:

3x^2 - 5x - 2 = 0

Find the factors of 3*-2 that are the same as the addends for -5:

3*-2 = -6

Factors of -6: -6*1

Addends: -6 + 1

3x^2 - 6x + x - 2 = 0

(3x^2 - 6x) + (x - 2) = 0

(factor in each parantheses)

3x(x - 2) + 1(x - 2) = 0

(3x + 1)(x - 2) = 0

(set each of the terms to 0 and solve)

3x + 1 = 0

3x = -1

x = -1/3

x - 2 = 0

x = 2

Hope it helps (●'◡'●)

Answer 2

`3x\cdot \:2-5x-2=0`

`6x-5x-2=0`

`6x-5x=x`

`x-2=0`

`x-2+2=0+2`

`x=2`

`-----------`

Hope it helps..

Have a great day!!