Solve -x^2/10+100

$$- \frac { x ^ { 2 } } { 10 } + 100$$

Evaluate

$$-\frac{x^{2}}{10}+100$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 100 times \frac{10}{10}.

$$-\frac{x^{2}}{10}+\frac{100\times 10}{10}$$

Since -\frac{x^{2}}{10} and \frac{100\times 10}{10} have the same denominator, add them by adding their numerators.

$$\frac{-x^{2}+100\times 10}{10}$$

Do the multiplications in -x^{2}+100\times 10.

$$\frac{-x^{2}+1000}{10}$$

Factor

$$\frac{1000-x^{2}}{10}$$

Solution Steps

Factor out \frac{1}{10}. Polynomial -x^{2}+1000 is not factored since it does not have any rational roots.

$$\frac{-x^{2}+1000}{10}$$