SOLUTION: Solve Each Equation Using The Method of Completing the Square 1.) {{{ x^2=35-2x }}} 2.) {{{3x^2-5x-12=0 }}} 3.) {{{ 6x^2-7x-24=0 }}}

I'll just do the hardest one, as all three are done the same way:

3.) 

Isolate the x² and x terms on the left



Divide through by the coefficient of x





To the side

1. Multiply the coefficient of x by :  
2. Square that result: 

Add that to both sides of the equation:



The left side factors as 

We combine the factors on the right hand side: 

 = 

We use the principle of square roots:





Add  to both sides:



There are two solutions, one using the + and one using the -

Using the + :



Using the - :

 

The solutions are  and 

The first two are done the same way.

Edwin