Solve by Graphing x^3-10x=x^2-6

$x^{3} - 10 x = x^{2} - 6$

Step 1

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

$x = - 3, 2 - \sqrt{2}, 2 + \sqrt{2}$

Step 2

The result can be shown in multiple forms.

Exact Form:

$x = - 3, 2 - \sqrt{2}, 2 + \sqrt{2}$

Decimal Form:

$x = - 3, 0.58578643 \dots, 3.41421356 \dots$

Step 3