Solve x^2/2-1/1+3x/2

$$\frac{ { x }^{ 2 } }{ 2 } - \frac{ 1 }{ 1 } + \frac{ 3x }{ 2 }$$

Evaluate

$$\frac{x^{2}+3x-2}{2}$$

Short Solution Steps

Divide 1 by 1 to get 1.

$$\frac{x^{2}}{2}-1+\frac{3x}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{x^{2}}{2}-\frac{2}{2}+\frac{3x}{2}$$

Since \frac{x^{2}}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{2}-2}{2}+\frac{3x}{2}$$

Since \frac{x^{2}-2}{2} and \frac{3x}{2} have the same denominator, add them by adding their numerators.

$$\frac{x^{2}-2+3x}{2}$$

Factor

$$\frac{\left(x-\frac{-\sqrt{17}-3}{2}\right)\left(x-\frac{\sqrt{17}-3}{2}\right)}{2}$$