Solve 53=2.2sqrt{x}+31.6

$$53 = 2.2 \sqrt{ x } +31.6$$

Solve for x

$$x = \frac{11449}{121} = 94\frac{75}{121} \approx 94.619834711$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$2.2\sqrt{x}+31.6=53$$

Subtract 31.6 from both sides.

$$2.2\sqrt{x}=53-31.6$$

Subtract 31.6 from 53 to get 21.4.

$$2.2\sqrt{x}=21.4$$

Divide both sides by 2.2.

$$\sqrt{x}=\frac{21.4}{2.2}$$

Expand \frac{21.4}{2.2} by multiplying both numerator and the denominator by 10.

$$\sqrt{x}=\frac{214}{22}$$

Reduce the fraction \frac{214}{22} to lowest terms by extracting and canceling out 2.

$$\sqrt{x}=\frac{107}{11}$$

Square both sides of the equation.

$$x=\frac{11449}{121}$$