Solve (1+x)^2=100/64

$$( 1 + x ) ^ { 2 } = \frac { 100 } { 64 }$$

Solve for x

$$x=\frac{1}{4}=0.25$$

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$x+1=\frac{5}{4} x+1=-\frac{5}{4}$$

Subtract 1 from both sides of the equation.

$$x+1-1=\frac{5}{4}-1 x+1-1=-\frac{5}{4}-1$$

Subtracting 1 from itself leaves 0.

$$x=\frac{5}{4}-1 x=-\frac{5}{4}-1$$

Subtract 1 from \frac{5}{4}.

$$x=\frac{1}{4}$$

Subtract 1 from -\frac{5}{4}.

$$x=-\frac{9}{4}$$

The equation is now solved.

$$x=\frac{1}{4} x=-\frac{9}{4}$$