Question

Nikko began solving the equation (x−7)^2−5=4 by first adding 5 to both sides of the equation. He solved the equation correctly. Which solutions did Nikko find?

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Answer 1

x = 4, x = 10

Explanation:

(x - 7)² - 5 = 4 ( add 5 to both sides )

(x - 7)² = 9 ( take square root of both sides )

x - 7 = ±
`√(9)` = ± 3 ( add 7 to both sides )

x = 7 ± 3

Then

x = 7 - 3 = 4

x = 7 + 3 = 10