Question

Find the solutions to the equation below check all that apply

9x^2+9x-4=0

A. x=1/3
B. x=-4/3
C. x=-1/3
D.x=1/2
E.x=4
F.x=-2

Answer 1

A. x=1/3

B. x=-4/3

Explanation:

Answer 2

A. x=1/3

B. x=-4/3

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Solve for x over the real numbers: using the factor method:

9 x^2 + 9 x - 4 = 0

The left hand side factors into a product with two terms:

(3 x - 1) (3 x + 4) = 0

Split into two equations:

3 x - 1 = 0 or 3 x + 4 = 0

Add 1 to both sides:

3 x = 1 or 3 x + 4 = 0

Divide both sides by 3:

x = 1/3 or 3 x + 4 = 0

Subtract 4 from both sides:

x = 1/3 or 3 x = -4

Divide both sides by 3:

Answer: x = 1/3 or x = -4/3