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