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1 vote
Solve for X
Please show step by step

(X - 4)^2 = 25

User Xguox
by
8.1k points

1 Answer

6 votes

Answer: x = -1 and x = 9

Explanation:

Lets solve this equation step by step

1. Simplify both sides of the equation

x^2 - 8x + 16 = 25

2. Subtract 25 from both sides

x^2 - 8x + 16 - 25 = 25 - 25

3. Factor the left side of the equation

(x + 1) (x - 9) = 0

4. Set the factors equal to zero

x + 1 = 0 or x - 9 = 0

Thus your answers are x = -1 and x = 9

You can check by inputting the values into the original equation

(-1 - 4)^2 = 25 and (9 - 4)^2 = 25

User JustinHui
by
7.9k points

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