Question

Use completing the square to solve the quadraic equation. Show your work using completing the square. -4x² + 9x + 10 = 0​

Answer 1

`x = (9)/(8) \pm (√(241))/(8)`

Explanation:

`x^2 + (9)/(-4)x + (81)/(64)= (5)/(2) + (81)/(64)`

`(-4x^2)/(-4) + (9x)/(-4) = (-10)/(-4)`

`x^2 + (9)/(-4)x + (81)/(64) = (5)/(2) + (81)/(64)`

`(x - (9)/(8))^2 = (241)/(64)`

`x - (9)/(8) = \pm\sqrt{(241)/(64)}`

`x = (9)/(8) \pm (√(241))/(8)`