Question

x^2 + 6x = 55Solve for X

Answer 1

Let's solve this step by step

1. write the equation

$x^2+6x=55$

2. subtract 55 from both sides

$x^2+6x-55=55-55$

3. simplify

$x^2+6x-55=0$

4. apply the general formula to solve quadratic equations

$x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a},ax^2+bx+c=0$

a=1 b=6 c=-55

$x_{1,\: 2}=\frac{-6\pm\sqrt{6^2-4\cdot\:1\cdot\left(-55\right)}}{2\cdot\:1}$

5. simplify

$\begin{gathered} x_{1,\: 2}=\frac{-6\pm\:16}{2\cdot\:1} \\ \end{gathered}$

6. separate the two solutions

$x_1=\frac{-6+16}{2\cdot\:1},\: x_2=\frac{-6-16}{2\cdot\:1}$