Solve left(2-xright)^2=25/16

$${ \left(2-x \right) }^{ 2 } = \frac{ 25 }{ 16 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

$$x = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$-x+2=\frac{5}{4} -x+2=-\frac{5}{4}$$

Subtract 2 from both sides of the equation.

$$-x+2-2=\frac{5}{4}-2 -x+2-2=-\frac{5}{4}-2$$

Subtracting 2 from itself leaves 0.

$$-x=\frac{5}{4}-2 -x=-\frac{5}{4}-2$$

Subtract 2 from \frac{5}{4}.

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

Subtract 2 from -\frac{5}{4}.

$$-x=-\frac{13}{4}$$

Divide both sides by -1.

$$\frac{-x}{-1}=-\frac{\frac{3}{4}}{-1} \frac{-x}{-1}=-\frac{\frac{13}{4}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=-\frac{\frac{3}{4}}{-1} x=-\frac{\frac{13}{4}}{-1}$$

Divide -\frac{3}{4} by -1.

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

Divide -\frac{13}{4} by -1.

$$x=\frac{13}{4}$$

The equation is now solved.

$$x=\frac{3}{4} x=\frac{13}{4}$$