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25 August, 00:36

Follow the process of completing the square to solve x^2 - 10x + 8 = 0.

What is the value of the constant that will be isolated on the right side of the equation in step 3?

answer options are:

a.-32

b.-12

c.-8

+5
Answers (1)
  1. 25 August, 03:38
    0
    Start with x^2 - 10x + 8 = 0.

    Take half of the coefficient of x; that is, take half of - 10. Result: - 5

    Square this - 5, and then add the resulting square to x^2 - 10x:

    x^2 - 10 x + (-10/2) - (-10/2) = - 8

    Simplifying, x^2 - 10 x + 25 - 25 = - 8

    Rewriting: (x-5) ^2 = 33

    And so on.

    The value of the const. that will be isolated on the rt. side of the equation in Step 3 is - 8.
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