Ayana and Leah were trying to solve the equation:
(x- 5)^2 + 4 = 16
Ayana said, "I'll take the square root of both sides and rewrite the equation as (x-5) +2 = 4. Then I'll solve
for x"
Leah said, "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the
square root."

The statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation can be solved as shown below,

(x- 5)² + 4 = 16

Subtract 4 from both the sides of the equation,

(x- 5)² + 4 -4 = 16 - 4

(x- 5)² = 12

Taking square root of both the sides of the equation,

√(x- 5)² = √12

x - 5 = √12

Add 5 on both the sides of the equation,

x - 5 + 5 = √12 + 5

x = √12 + 5

Now, if both Ayana and Leah process of solving is compared with the solution above, it can be concluded that Leah is using the correct method to solve the equation.

Hence, the statement given by Lean that "Ill isolate (x - 5)^2 by subtracting 4 from both sides of the equation. Then I'll solve by taking the square root." is correct way of solving an equation.

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