Question

I need help with this solve by square roots problem.Solve for quadratic equation

Answer 1

`x\text{ = -2 + }√(14)\text{ or -2 - }√(14)`

Step-by-step explanation:
`-(x\text{ + 2})^2\text{ = -14}`

Divide both sides by -1:

`\begin{gathered} \frac{-(x\text{ + 2})^2}{-1}\text{ = }(-14)/(-1) \\ division\text{ of same signs give positive sign} \\ (x\text{ + 2})^2\text{ = 14} \end{gathered}`
`\begin{gathered} square\text{ root both sides:} \\ \sqrt{(x\text{ + 2})^2}\text{ = }√(14) \\ x\text{ + 2 = }\pm\text{ }√(14) \end{gathered}`
`\begin{gathered} subtract\text{ 2 from both sides:} \\ x\text{ + 2 - 2 = -2 }\pm\text{ }√(14) \\ x\text{ = -2 }\pm\text{ }√(14) \end{gathered}`
`\begin{gathered} x\text{ = -2 }\pm\text{ }√(14)\text{ is represented as x = -2+}√(14)\text{ or -2 - }√(14) \\ x\text{ = -2 + }√(14)\text{ or -2 - }√(14) \end{gathered}`