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

Question

Mathematics

Hana Rios

14 July, 22:31

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

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Emilio Browning · Answer 1

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 <=