Solve the quadratic equation by the square root property (2x + 5)² = 49

Solution:

The square root property is one method that can be used to solve quadratic equations. This method is generally used on equations that have the form ax² = c or (ax + b)²= c, or an equation that can be re-expressed in either of those forms.

Given, (2x + 5)² = 49

2x + 5 = ± √49 = ± 7

2x + 5 = +7 and 2x + 5 = -7

2x = 2 and 2x = -12

x = 1 and x = -6

Solve the quadratic equation by the square root property (2x + 5)² = 49

Summary:

By the square root property, the solution of the quadratic equation (2x + 5)² = 49 is x = 1 and x = -6.