Mathematics

Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 +9x - 14 =0

1 Answer

  • x^2 + 9x - 14 = 0
    x^2 + 9x = 14
    x^2 + 9x + 20.25 = 14 + 20.25
    (x + 4.5)^2 = 34.25
    x + 4.5 = (+-) sqrt 34.25
    x = - 4.5 (+-) 5.85

    x = -4.5 + 5.85 = 1.35 <=
    x = -4.5 - 5.85 = -10.35 <=