Solve the equation for 5x^2-4x=6

x = (4 + 2√34) / 10, x = (4 - 2√34) / 10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √ (16 - 4*5 * (-6))) / 10

Multiply: x = (4 ± √ (16 + 120)) / 10

Simplify: x = (4 ± 2√34) / 10