Precalculus Examples

f (x) = x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5

$f (x) = x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5$

Step 1

Set

x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5

$x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5$ equal to

0

$0$ .

x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5 = 0

$x^{4} - 3 x^{3} - 2 x^{2} + 3 x - 5 = 0$

Step 2

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

x = 1 - \sqrt{6}, 1 + \sqrt{6}

$x = 1 - \sqrt{6}, 1 + \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

x = 1 - \sqrt{6}, 1 + \sqrt{6}

$x = 1 - \sqrt{6}, 1 + \sqrt{6}$

Decimal Form:

x = - 1.44948974 \dots, 3.44948974 \dots

$x = - 1.44948974 \dots, 3.44948974 \dots$

Step 4