What equation results from completing the square and then factoring?
x^2 - 10x = 46

Move all like term to the same side

x^2-10x-46=0

1. The expression x^2-10x-46 fits into the from ax^2+2b+c, where:

a=1, b=-10 and c=-46

2. Introduce the constant, k, which is 25 in our case

Let k = (b/-2a)^2

From the earlier step, we know that a=1 and b=-10

Therefore, k= (-10/2*1)^2 = 25

x^2-10x+25-25-46=0

3. Use square of difference: (a-b)^2=a^2-2ab+b^2

(x-5)^2-25-46=0

4. Simplify

(x-5)^2-71=0

5. Substitute back into the original equation

(x-5)^2-71=0

6. Add 71 on both sides

(x-5)^2=71

7. Take the square root of both sides

x-5=plus minus sqrt (71)

8. Add 5 to both sides

x= sqrt (71) + 5 or - sqrt (71) + 5

Explanation:

its     x^2-10x-46=0

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