Question

Select the correct answer from each drop-down menu. The possible values of x in the equation x^2-3/4 x=-1/4 are blank ± blank .

Answer 1

Answer:

x = 3/8 +/- i(√5)/8.

Step-by-step explanation:

I can't see any list by this is the solution of the equation:

x^2 - 3/4x = -1/4

x^2 - 3/4 x + 1/4 = 0

Multiply by 4 to remove the fractions:

4x^2 - 3x + 1 = 0

x = [-(-3) +/- sqrt(3)^2 - 4*4*1)] / 8

x = 3/8 +/-√ (-5) / 8

x = 3/8 +/-  √5 i / 8