solve the equation using the quadratic formula

Question

x²/2=(x/2)+(5/6)

Answer 1

x²/2 = x/2 + 5/6      Using the quadratic formula is less complicated if we eliminate fractions. Multiply both sides by 6.

 

3x² = 3x + 5

3x² - 3x - 5 = 0

 

[3 ±√((9 - 4(3)(-5))] / 6

[3 ± √69] / 6

1/2 ± √69 / 6