Solve −2x2 − 16x − 44 = 0.

x = -8 plus or minus "i" times the square root of 6
x = -8 plus or minus "2i" times the square root of 6
x = -4 plus or minus "i" times the square root of 6
x = -4 plus or minus "2i" times the square root of 6

Answer

x = -4 plus or minus "i" times the square root of 6

Explanation

 −2x² − 16x − 44 = 0.

 −2x² − 16x = 44

Dividing by -2

x² + 8x = -22

x² + 8x + 4² = -22 + 4²

(x + 4)² = -22 + 16

(x + 4) ² = -6

(x + 4) = √-6

Remember √(-1) = i

(x + 4) = i√6                    or  (x + 4) = -i√6

x = -4 + i√6                          x = -4 - i√6                      

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer