Algebra Examples

$x^{2} + b x + 12$

Step 1

Set $x^{2} + b x + 12$ equal to $0$ .

$x^{2} + b x + 12 = 0$

Step 2

Use the quadratic formula to find the solutions.

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

Step 3

Substitute the values $a = 1$ , $b = b$ , and $c = 12$ into the quadratic formula and solve for $x$ .

$\frac{- b \pm \sqrt{b^{2} - 4 \cdot (1 \cdot 12)}}{2 \cdot 1}$

Step 4

Simplify.

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Step 4.1

Multiply $- 4 \cdot 1 \cdot 12$ .

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Step 4.1.1

Multiply $- 4$ by $1$ .

$x = \frac{- b \pm \sqrt{b^{2} - 4 \cdot 12}}{2 \cdot 1}$

Step 4.1.2

Multiply $- 4$ by $12$ .

$x = \frac{- b \pm \sqrt{b^{2} - 48}}{2 \cdot 1}$

Step 4.2

Multiply $2$ by $1$ .

$x = \frac{- b \pm \sqrt{b^{2} - 48}}{2}$