Solve by the quadratic formula If you have two rational solu

Solve by the quadratic formula: If you have two rational solutions, list them separated by commas, for example i, type \"213,5/2\" If you have two irrationl solutions, type 5- 2 3 \"(5+-2sqrtG)ys\" 9 E as E Previewt Points possible: 10 This is attempt 1 of 2. Message instructor about this question Post this question to forum Submit Jump to Answer

Solution

We have -4x² -4x+8 = 0. On dividing both the sides by -4, we get x² +x -2 = 0

On using the quadratic formula, we get x = [-1±{1²-4*1*(-2)}]/2*1 = [-1±(1+8)]/2 = [-1±9]/2 = (-1±3)/2. Thus, either x = (-1-3)/2 = -4/2 = -2 or, x = (-1+3/2) = 2/2 = 1. The answer is -2,1.

Alternate Method:

On dividing both the sides by -4, we get x² +x -2 = 0 or, x² + 2x-x -2 = 0, or x(x+2)-1(x+2) = 0 or, (x+2)(x-1) = 0. Thus, x = -2,1.