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