Solve (y+20/9)^2=9877/81

$$( y + \frac { 20 } { 9 } ) ^ { 2 } = \frac { 9877 } { 81 }$$

Solve for y

$$y = \frac{\sqrt{9877} - 20}{9} \approx 8.820344128$$

$$y=\frac{-\sqrt{9877}-20}{9}\approx -13.264788573$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$y+\frac{20}{9}=\frac{\sqrt{9877}}{9} y+\frac{20}{9}=-\frac{\sqrt{9877}}{9}$$

Subtract \frac{20}{9} from both sides of the equation.

$$y+\frac{20}{9}-\frac{20}{9}=\frac{\sqrt{9877}}{9}-\frac{20}{9} y+\frac{20}{9}-\frac{20}{9}=-\frac{\sqrt{9877}}{9}-\frac{20}{9}$$

Subtracting \frac{20}{9} from itself leaves 0.

$$y=\frac{\sqrt{9877}}{9}-\frac{20}{9} y=-\frac{\sqrt{9877}}{9}-\frac{20}{9}$$

Subtract \frac{20}{9} from \frac{\sqrt{9877}}{9}.

$$y=\frac{\sqrt{9877}-20}{9}$$

Subtract \frac{20}{9} from -\frac{\sqrt{9877}}{9}.

$$y=\frac{-\sqrt{9877}-20}{9}$$

The equation is now solved.

$$y=\frac{\sqrt{9877}-20}{9} y=\frac{-\sqrt{9877}-20}{9}$$