Solve by using the quadratic formula:

x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 - 5 x = 3

Subtract 3 from both sides:

4 x^2 - 5 x - 3 = 0

x = (5 ± sqrt((-5)^2 - 4×4 (-3)))/(2×4) = (5 ± sqrt(25 + 48))/8 = (5 ± sqrt(73))/8:

x = (5 + sqrt(73))/8 or x = (5 - sqrt(73))/8

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step-by-step explanation: