Question

Solve for x.

3x^2-4x-2=0
enter your simplified answers, as exact values, in the boxes.
x=_____ or x=______

Answer 1

Explanation:

3x^2 - 4x - 2 = 0

Solution:

x = 2 + sqrt 10/3

x = 2 - sqrt 10/3

Decimal:

x = 1.72076.....

x = 0.38743.....

Solve Quadratic equation:

3x^2 - 4x - 2 = 0

Use quadratic formula:

a = 3

b = -4

c = -2

Showing Work:

x = -b +/- sqrt b^2 - 4ac/2a

x = -( -4) +/- sqrt (-4^2) - 4(3) ( -2)/ 2(3)

x = 4 +/- sqrt 40/6

Ans: x = 2/3 + 1/3 sqrt 10 or x = 2/3 + -1/3 sqrt 10

Hope that helps!!!!!! : ) -P-

Answer 2

1.72 or -0.387

Explanation

3x²-4x-2=0

3x²-4x = 2

x² - (4/3)x = 2/3

x² - (4/3)x + (2/3)² = 2/3 + 4/9

(x - 2/3)² = 10/9

x - 2/3 = √10/3 or x - 2/3 = -√10/3

x = √10/3 + 2/3 or x = -√10/3 + 2/3

= 1.72 or = -0.387