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Hi can you help me find the correct answer to this?

Hi can you help me find the correct answer to this?-example-1

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Answer: x = 7,4

Choice A

To begin, we can get rid of the square root sign on the right side by squaring both sides of the equation. Squaring a square root will cancel out the square root, since they are opposite functions. Now we have the following:

(x-5)^2 = x-3

Now, we can expand the left side of the equation as follows:

(x-5)(x-5) = x-3

x^2 - 5x - 5x + 25 = x - 3

x^2 - 10x + 25 = x - 3

x^2 - 11x +28 = 0

Now, we can simply factor the left side of the equation as follows:

(x - 7)(x - 4) = 0

Now, we can set both expressions equal to 0 to find our solutinos:

x - 7 = 0

x = 7

x - 4 = 0

x = 4

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