x^2+6x=9
To create a trinomial square on the left side of the equation, you have to find a value that is equal to the square of half of 9.
(9/2)^2=(3)^2
Then, add this therm to each side of the equation.
x^2+6x+(3)^2=9+(3)^2
Simplifying that equation:
x^2+6x+9=18
Factor the perfect trinomial square into (x+3)^2
(x+3)^2=18
To solve the equation for x, you have to take the square root of each side of the equation:
(x+3)^(2*1/2)=18^1/2