(x+7)^2=5

Jasonbradley

less than a minute read Jun 17, 2024

Solving the Equation (x + 7)^2 = 5

This article will guide you through the process of solving the equation (x + 7)^2 = 5.

Understanding the Equation

The equation involves a squared term, meaning we need to use the square root property to isolate 'x'.

Solving for x

Take the square root of both sides: √(x + 7)^2 = ±√5
Simplify: x + 7 = ±√5
Isolate x: x = -7 ±√5

Solutions

Therefore, the solutions to the equation (x + 7)^2 = 5 are:

x = -7 + √5
x = -7 - √5

Conclusion

By applying the square root property and simplifying, we have successfully solved the equation (x + 7)^2 = 5, obtaining two distinct solutions. Remember that when taking the square root of both sides of an equation, we introduce both positive and negative solutions.