Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5

Sagot :

The solution to x^2 - 4x = 5 is x = -1 or 5

How to solve the equation?

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

Read more about quadratic equations at:

https://brainly.com/question/10449635

#SPJ1