Use completing the square to solve for x in the equation (x+ 7)(x-9) = 25
x= -4 or 6
x = -2 or 14
x=1+ 789
x=1v87

x = 1 ±√89

Step-by-step explanation:

Expand (X+ 7)(x-9) = 25:

x^2 + 7x - 9x - 63 = 25

This becomes:

x^2 - 2x - 63 = 25, or

x^2 - 2x        = 88

To complete the square:  Take half of the coefficient of x (which is -2), and square the result, obtaining +1.

Add +1 to both sides:

x^2 - 2x + 1       = 88 + 1 = 89

Rewriting x^2 - 2x  +1 as the square of the binomial x - 1:

 (x - 1)^2 = 89

Taking the sqrt of both sides:

 x - 1 = ±√89

Solve for x.  Add 1 to both sides:

x = 1 ±√89

details

step-by-step explanation:

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