3x-5=4
To remove the radical on the left side of the equation, square both sides of the equation.
3x-52=42
Multiply the exponents in ((3x-5)12)2.
Apply the power rule and multiply exponents, (am)n=amn.
(3x-5)12⋅2=42
Cancel the common factor of 2.
Cancel the common factor.
(3x-5)12⋅2=42
Rewrite the expression.
(3x-5)1=42
(3x-5)1=42
(3x-5)1=42
Simplify.
3x-5=42
Raise 4 to the power of 2.
3x-5=16
3x-5=16
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x=16+5
Add 16 and 5.
3x=21
3x=21
Divide each term by 3 and simplify.
Divide each term in 3x=21 by 3.
3×3=213
Cancel the common factor of 3.
Cancel the common factor.
3×3=213
Divide x by 1.
x=213
x=213
Divide 21 by 3.
x=7
x=7
x=7
Solve for x square root of 3x-5=4
