2 answers:
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Answer:
x = (1 ±√97)/4 ≈ {-2.21221, 2.71221}
Step-by-step explanation:
Multiply the equation by 12x to clear fractions.
12 = 2x^2 -x
6 = x^2 -1/2x . . . . . . divide by 2
6 +1/16 = x^2 -1/2x +1/16 = (x -1/4)^2 . . . . . add 1/16 to complete the square
±√(97/16) +1/4 = x . . . . . . square root and add 1/4
x = (1 ±√97)/4
x ≈ -2.21221, 2.71221
