SOLUTION: Can you please help me solve this equation by completing the square. -9x^+18x=16 Thank you!!

Question 706800: Can you please help me solve this equation by completing the square.
-9x^+18x=16
Thank you!!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics

Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.
Let's convert to standard form by dividing both sides by -9:
We have: . What we want to do now is to change this equation to a complete square . How can we find out values of somenumber and othernumber that would make it work?
Look at : . Since the coefficient in our equation that goes in front of x is -2, we know that -2=2*somenumber, or . So, we know that our equation can be rewritten as , and we do not yet know the other number.
We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation .

The highlighted red part must be equal to 1.77777777777778 (highlighted green part).

, or .
So, the equation converts to , or .

Our equation converted to a square , equated to a number (-0.777777777777778).

There is no number whose square can be negative. So, there is no solution to this equation

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