Question

Using the quadratic formula, Show all work to solve 3x2 − 5x − 2 = 0.
I am stuck

Answer 1

X= 4/5

Explanation:

3*2-5x-2=0

step 1 : combine/multiply like terms

6 - 5x - 2 = 0

6-2 -5x=0

4-5x=0

step 2: "separate" the x from the "normal" numbers (what happens on one side of the equation happens to the other side)

4 - 5x = 0

-4 -4

-5x = -4

step 3: divide by the coefficient of X

-5x / -5 = /4 / -5

x= 4/5

Answer 2

x = 5 + i , 5 - i

6 6

Explanation:

x = -b ±√b∧2-4ac

2a

x = -(-5) +
`√(-5^2 - 4(3)(-2))`

2(3)

= 5 +
`√(-1)`

6

= 5 -
`√(-1)`

6

hope this helps!