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Which of the following is a solution to the equation
(x-2)^(2)=25?

Which of the following is a solution to the equation $(x-2)^{2}=25 ?$

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Simplify rational expressions

Full solution

Q. Which of the following is a solution to the equation

(x-2)^{2}=25 ?

Take Square Root: Now we take the square root of both sides to get rid of the square. So we have $x-2 = \pm\sqrt{25}$ .
Solve for x: We know that $\sqrt{25}$ is $5$ . So we have $x-2 = \pm 5$ .
Positive Solution: Now we'll solve for $x$ by adding $2$ to both sides of the equation. For the positive solution, we have $x = 5 + 2$ .
Negative Solution: So the positive solution is $x = 7$ .
Negative Solution: So the positive solution is $x = 7$ .For the negative solution, we have $x = -5 + 2$ .
Negative Solution: So the positive solution is $x = 7$ .For the negative solution, we have $x = -5 + 2$ .So the negative solution is $x = -3$ .

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