Question

Solve 2x2 + x − 4 = 0. x^2 + ____x+____ = 0

Answer 1

Answer:

1/2     -2

Step-by-step explanation:

Answer 2

Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0

And please include the instructions.

2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0

Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0

Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0

Then (x+(1/4))^2 = (1/4)^2

Taking the sqrt of both sides: x+1/4 = plus or minus 1/4

Solving for x: x = -1/4 plus or minus 1/4

Solving for x (continued): x = 0 and x = -1/2