Question

Solve by using the quadratic formula: TexFormula1" title="4x { }^{2} - 5x = 3" alt="4x { }^{2} - 5x = 3" align="absmiddle" class="latex-formula">
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Answer 1

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