How do you solve #sqrt (x+9)=4#?
To solve equations that involve radicals, you must square both sides of the equation.
x + 9 = 16
x = 16 - 9
x = 7
With radical equations it is alway vital to check your solutions in the original equation, since extraneous solutions may arise. You must especially be careful of them in radical-quadratic equations, where two solutions often appear but oftentimes only one is the correct solution.
- Solve each equation. Watch out for extraneous solutions.
Square both sides: