How do you solve #sqrt(15-2x)=x#?
You square both sides of the equation and solve the resulting quadratic equation.
The first thing you need to do in order to solve this equation is to get rid of the square root by squaring both sides of the equation.
This will get you
Next, move all the terms on one side of the equation
You can easily solve this one by using the quadratic formula, which states that, for any quadratic equation that takes the form
In your case,
This means that you get
The two solutions for
Check to see if the two solutions are valid
Therefore, the only solution to this equation is
Square both sides and then solve as a quadratic to obtain: