Solve 2(x-1)^2=9/8

$$2 ( x - 1 ) ^ { 2 } = \frac { 9 } { 8 }$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

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

Steps by Finding Square Root

Divide both sides by 2.

$$\frac{2\left(x-1\right)^{2}}{2}=\frac{\frac{9}{8}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$\left(x-1\right)^{2}=\frac{\frac{9}{8}}{2}$$

Divide \frac{9}{8} by 2.

$$\left(x-1\right)^{2}=\frac{9}{16}$$

Take the square root of both sides of the equation.

$$x-1=\frac{3}{4} x-1=-\frac{3}{4}$$

Add 1 to both sides of the equation.

$$x-1-\left(-1\right)=\frac{3}{4}-\left(-1\right) x-1-\left(-1\right)=-\frac{3}{4}-\left(-1\right)$$

Subtracting -1 from itself leaves 0.

$$x=\frac{3}{4}-\left(-1\right) x=-\frac{3}{4}-\left(-1\right)$$

Subtract -1 from \frac{3}{4}.

$$x=\frac{7}{4}$$

Subtract -1 from -\frac{3}{4}.

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

The equation is now solved.

$$x=\frac{7}{4} x=\frac{1}{4}$$