Solve 3sqrt{130,000+x}=89,600

$$3 \sqrt { 130,000 + x } = 89,600$$

Solve for x

$$x = \frac{8026990000}{9} = 891887777\frac{7}{9} \approx 891887777.777777778$$

Steps for Solving Radical Equations

Divide both sides by 3.

$$\frac{3\sqrt{x+130000}}{3}=\frac{89600}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\sqrt{x+130000}=\frac{89600}{3}$$

Square both sides of the equation.

$$x+130000=\frac{8028160000}{9}$$

Subtract 130000 from both sides of the equation.

$$x+130000-130000=\frac{8028160000}{9}-130000$$

Subtracting 130000 from itself leaves 0.

$$x=\frac{8028160000}{9}-130000$$

Subtract 130000 from \frac{8028160000}{9}.

$$x=\frac{8026990000}{9}$$