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

Sagot :

MrRoyalidn

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

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