Solve (x-1/2)2=7/4

$$(x- \frac{ 1 }{ 2 } )2= \frac{ 7 }{ 4 }$$

Solve for x

$$x = \frac{11}{8} = 1\frac{3}{8} = 1.375$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$x-\frac{1}{2}=\frac{\frac{7}{4}}{2}$$

Express \frac{\frac{7}{4}}{2} as a single fraction.

$$x-\frac{1}{2}=\frac{7}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x-\frac{1}{2}=\frac{7}{8}$$

Add \frac{1}{2} to both sides.

$$x=\frac{7}{8}+\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{7}{8} and \frac{1}{2} to fractions with denominator 8.

$$x=\frac{7}{8}+\frac{4}{8}$$

Since \frac{7}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$x=\frac{7+4}{8}$$

Add 7 and 4 to get 11.

$$x=\frac{11}{8}$$