Question

Question 14 of 25 Which of the following are solutions to the quadratic equation below? Check all that apply. 2x2 - 2x - 2 = x 0 A. 2 B. 1 2 C. 1 D. -4 E. 3 F. 3 SUBMIT < PREVIOUS

Answer 1

the given expression is,

`2x^2-2x-2=x`
`2x^2-2x-x-2=0`
`2x^2-3x-2=0`
`\begin{gathered} 2x^2-4x+x-2=0 \\ 2x(x-2)+1(x-2)=0 \\ (x-2)(2x+1)=0 \end{gathered}`

x- 2 = 0

x = 2

2x + 1 = 0

2x = -1

x = -1/2

thus, the answer is x = 2 , -1/2