# Solve the following equation using the square root property. {eq}(x - 5)^2 = - 49 {/eq}

## Question:

Solve the following equation using the square root property.

{eq}(x - 5)^2 = - 49 {/eq}

## Solving the Equation:

The square root property is used in the completing the square method to solve quadratic equations. Given the form {eq}(x + a)^2 = b {/eq}, we should apply the square root on both sides and use the radical rules to find the value of the variable.

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Let us consider the given equation {eq}(x - 5)^2 = - 49 {/eq}.

Solving equation using the square root property:

\begin{align*} (x - 5)^2 &= -...