SOLUTION: x^2+8x+144=16/9

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Question 201591: x^2+8x+144=16/9
Answer by jim_thompson5910(13794) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given equation.


Multiply EVERY term by the LCD 9 to clear out the fraction.


Multiply and simplify


Subtract 16 from both sides.


Combine like terms.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


or Break up the expression.


So the solutions are or