SOLUTION: Solve the following Quadratic equation 4x+x(x-3)=5 Please help me figure this ine out.

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Question 132944: Solve the following Quadratic equation
4x+x(x-3)=5 Please help me figure this ine out.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


In order to solve a quadratic, it needs to be in standard form (, so:

Distribute the x:


Collect like terms:


Add -5 to both sides:


And rearrange the terms in decending degree order:


This quadratic does not factor to integer factors, so let's try completing the square.

Move the constant term back to the right side:


Divide the coefficient on the first degree term by 2: , square it, and add the result to both sides:


Now the left side is a perfect square, so factor it:


Take the square root of both sides:
or

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