What is the intermediate step in the form (x+a)^2=b(x+a)
2 =b as a result of completing the square for the following equation?
x²-4x=45

Respuesta :

The intermediate step of x² - 4x = 45 is (x- 2)² = 49

How to determine the intermediate step?

The equation is given as:

x² - 4x = 45

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add 4 to both sides of x² - 4x = 45

x² - 4x + 4= 45 + 4

This gives

x² - 4x + 4= 49

Express as perfect square

(x- 2)² = 49

Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49

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