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)=(-b\pm√(b^2-4ac))/(2a),ax^2+bx+c=0`

a=1 b=6 c=-55

`x_(1,\: 2)=(-6\pm√(6^2-4\cdot\:1\cdot\left(-55\right)))/(2\cdot\:1)`

5. simplify

`\begin{gathered} x_(1,\: 2)=(-6\pm\:16)/(2\cdot\:1) \\ \end{gathered}`

6. separate the two solutions

`x_1=(-6+16)/(2\cdot\:1),\: x_2=(-6-16)/(2\cdot\:1)`