Solve f(1/2)=5(1/2)^2-5(1/2)

$$f ( 1 / 2 ) = 5 ( \frac { 1 } { 2 } ) ^ { 2 } - 5 ( \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$5\times \frac{1}{4}-5\times \frac{1}{2}$$

Multiply 5 and \frac{1}{4} to get \frac{5}{4}.

$$\frac{5}{4}-5\times \frac{1}{2}$$

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

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

Least common multiple of 4 and 2 is 4. Convert \frac{5}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{5}{4}-\frac{10}{4}$$

Since \frac{5}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-10}{4}$$

Subtract 10 from 5 to get -5.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$