Use completing the square to solve (x + 7)(x - 9) = 25 for x.

Solution:

The given equation is

(x + 7)(x - 9) = 25

Using the distributive property

x² - 9x + 7x - 63 = 25

x² - 2x - 63 = 25

By subtracting 25 from both sides

x² - 2x - 88 = 0

Making use of the completing the square form

Let us add and subtract 1 

x² - 2x - 88 + 1 - 1 = 0

(x - 1)² - 89 = 0

It can be written as

(x - 1)² = 89

By taking square root on both sides

x - 1 = ± √89

So we get

x = 1 ± √89

Therefore, the values of x are x = 1 + √89 and x = 1 - √89.

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Use completing the square to solve (x + 7)(x - 9) = 25 for x.

Summary:

Using completing the square to solve (x + 7)(x - 9) = 25 for x we get x = 1 + √89 and x = 1 - √89.