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Solve for x

(X^2-5x)=(9x-12)

1 Answer

6 votes

Answer:

x = 13.08 or 0.917

Explanation:


x^(2) -5x=9x-12

First, subtract 9x by both sides.


x^(2) -5x-9x=-12\\x^(2) -14x=-12

And now we can use completing square method to solve for x.


x^(2) -14x=-12

Add (14/2)² to both sides of the equation.


x^(2) -14x+(14/2)^(2) =-12+(14/2)^(2) \\\\x^(2) -14x+49=-12+49\\\\x^(2) -14x+49=37

Factor the left side of the equation into a perfect square.


(x-7)^(2) =37

Square root both sides of the equation and solve for x.


x-7=\±√(37)

Add 7 to both sides.


x = \±√(37) +7

Therefore,

x = √37 + 7

x = 13.08

or

x = -√37 + 7

x = 0.917

User Kaluva
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