Fill in the steps to complete the square:
(8 points)
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x2 − 10x − 12 = 0
x2 − 10x = 12
x2 − 10x +
Response area = 12 +
Response area
We factor and simplify to get:
(x−5)2 =
Response area
At this point, we need to Response area
After that is done, we will have:
Response area =
Response area
We get isolate the variable by:
Response area
Final answers are:
Response area
x2 − 10x − 12 = 0
x2 − 10x = 12
x2 − 10x + 25 = 12 + 25
(x−5)2 = 37
(x-5)2 = (x-5)(x-5)
We take the square root of 37 and then add/subtract 5 to both sides:
x - 5 = ±√37
x = 5 ± √37
Final answers are: x = 5 + √37, x = 5 - √37