SOLUTION: I thought the last solution (to subtract 8 from each side) was what my teacher wanted, but they're actually asking me to "Solve by completing the square" for this equation: 9x^2+6x

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Question 1058267: I thought the last solution (to subtract 8 from each side) was what my teacher wanted, but they're actually asking me to "Solve by completing the square" for this equation: 9x^2+6x=8
Thank you!
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!




Divide thru by 9, the coefficient of the 
term in 





To the side, multiply the coefficient of x by .


Now square .  

Add  to both sides of



Combine the right side: 



Factor the left side:



Write the left side as the square of
a binomial:



Take the square root of both sides,
remembering the ± on the right:







Using the +





Using the -





The solutions are  and 

Edwin
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

Divide both sides by

Take 1/2 of the coefficient of the
term, square it, and add it to both sides



Take the square root of both sides


and, taking the negative square root of ,


-------------------
check the solutions:



Multiply both sides by


OK
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