What is the solution of √x-5 = x-11

Hey!

To solve x in this equation we must first add five to both sides to get  on its own.

Original Equation :


New Equation {Added 5 to Both Sides} :


Now we must square both sides of the equation.

Old Equation :


New Equation {Changed by Squaring Both Sides} :


And now we must solve the new equation.

Step 1 - Switch sides


Step 2 - Subtract x from both sides


Step 3 - Simplify


Now we need to solve the rest of the equation using the quadratic formula.













9



4

So, this means that in the equation ,  x = 9  and  x = 4.

Hope this helps!

- Lindsey Frazier ♥