How do you solve #x=sqrt(12x-32)#?
Square both sides of the given equation and then convert into a standard quadratic form and factor.
To get rid of the radical on the right, we can square both sides to get
This is beginning to look like a quadratic, but to make it more obvious, we can subtract
To factor this, let's do a little thought experiment:
What two numbers sum up to
After some trial and error, we arrive at
Setting both factors equal to zero, we get
Hope this helps!