Solve 4.2-4.2^2-17/2*4.2=

$$4.2 - \frac { 4.2 ^ { 2 } - 17 } { 2 \times 4.2 } =$$

Evaluate

$$\frac{433}{105}\approx 4.123809524$$

Solution Steps

Calculate 4.2 to the power of 2 and get 17.64.

$$4.2-\frac{17.64-17}{2\times 4.2}$$

Subtract 17 from 17.64 to get 0.64.

$$4.2-\frac{0.64}{2\times 4.2}$$

Multiply 2 and 4.2 to get 8.4.

$$4.2-\frac{0.64}{8.4}$$

Expand \frac{0.64}{8.4} by multiplying both numerator and the denominator by 100.

$$4.2-\frac{64}{840}$$

Reduce the fraction \frac{64}{840} to lowest terms by extracting and canceling out 8.

$$4.2-\frac{8}{105}$$

Convert decimal number 4.2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{21}{5}-\frac{8}{105}$$

Least common multiple of 5 and 105 is 105. Convert \frac{21}{5} and \frac{8}{105} to fractions with denominator 105.

$$\frac{441}{105}-\frac{8}{105}$$

Since \frac{441}{105} and \frac{8}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{441-8}{105}$$

Subtract 8 from 441 to get 433.

$$\frac{433}{105}$$

Factor

$$\frac{433}{3 \cdot 5 \cdot 7} = 4\frac{13}{105} = 4.123809523809523$$