Solve −2x2 − 16x − 44 = 0. x equals negative 8 plus or minus I square root of 6 x equals negative 8 plus or minus 2i square root of 6 x equals negative 4 plus or minus i square root of 6 x equals negative 4 plus or minus 2i square root of 6
Question
Answer:
I would immediately reduce this by div. every term by -2:x^2 + 8x + 22 = 0
Next, I'd "complete the square:"
x^2 + 8x + (4)^2 - (4)^2 + 22 = 0
(x + 4)^2 - 16 + 22 = 0, so that (x+4)^2 + 4 = 0.
Then sqrt( (x+4)^2 = sqrt(-4)
x+4 = plus or minus i*2
x = -4 plus or minus i*2 (answer)
solved
general
11 months ago
2809