Solve by Graphing 1/2x^2=4x-5

$\frac{1}{2} x^{2} = 4 x - 5$

Step 1

Combine $\frac{1}{2}$ and $x^{2}$ .

$\frac{x^{2}}{2} = 4 x - 5$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 4 - \sqrt{6}, 4 + \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = 4 - \sqrt{6}, 4 + \sqrt{6}$

Decimal Form:

$x = 1.55051025 \dots, 6.44948974 \dots$

Step 4