+1904 Solve for x. Please show all real and non-real answers and show how you got to your answer.
\({x}^{2}+4x-8.23412=-16.23412\)
+33616 Add 16.23412 to both sides of the equation to get:
x2 + 4x + 8 = 0
This doesn't factorize nicely, so use the quadratic formula:
x+ = (-4 + sqrt(42 - 4*1*8))/(2*1) → (-4 + sqrt(-16))/2 → (-4 + 4i)/2 → -2 + 2i
Similarly, x- = -2 - 2i
So there are two complex (non-real) roots.
+33616 Add 16.23412 to both sides of the equation to get:
x2 + 4x + 8 = 0
This doesn't factorize nicely, so use the quadratic formula:
x+ = (-4 + sqrt(42 - 4*1*8))/(2*1) → (-4 + sqrt(-16))/2 → (-4 + 4i)/2 → -2 + 2i
Similarly, x- = -2 - 2i
So there are two complex (non-real) roots.
