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2 years ago

Question is in pic! Plz show work!

Mathematics

1 answer:

kipiarov [429]2 years ago

4 0

Answer:

x = 10 and x = -2

Step-by-step explanation:

The equation has 2 solutions because we have a square. When things are squares, we get a positive and negative solution.

(x-4)^2 - 28 = 8

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 and x = 4-6

x = 10 and x = -2

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