Algebra Examples

$x^{2} + b x + c = 0$

Step 1

Use the quadratic formula to find the solutions.

$\frac{- b \pm \sqrt{b^{2} - 4 (a c)}}{2 a}$

Step 2

Substitute the values $a = 1$ , $b = b$ , and $c = c$ into the quadratic formula and solve for $x$ .

$\frac{- b \pm \sqrt{b^{2} - 4 \cdot (1 \cdot c)}}{2 \cdot 1}$

Step 3

Simplify.

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Step 3.1

Multiply $- 4$ by $1$ .

$x = \frac{- b \pm \sqrt{b^{2} - 4 c}}{2 \cdot 1}$

Step 3.2

Multiply $2$ by $1$ .

$x = \frac{- b \pm \sqrt{b^{2} - 4 c}}{2}$