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 .
1 answer:
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
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