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x = 10     x = -2

Step-by-step explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right.  The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2  = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6    x = 4-6

x = 10     x = -2

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step-by-step explanation:

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step-by-step explanation: