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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

User Meet Mehta
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2 Answers

26 votes
26 votes

Answer: x = 1 and x = 13.

Step-by-step explanation: To solve the equation (x - 7)^2 = 36, we can first rewrite the equation as x^2 - 14x + 49 = 36.

Next, we can rewrite the equation as x^2 - 14x + 13 = 0.

To solve for x, we can then use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a = 1, b = -14, and c = 13.

Substituting these values into the formula, we get:

x = (14 +/- sqrt(14^2 - 4(1)(13))) / 2

x = (14 +/- sqrt(196 - 52)) / 2

x = (14 +/- sqrt(144)) / 2

x = (14 +/- 12) / 2

The values of x are therefore 1 and 13.

Therefore, the correct answer is x = 1 and x = 13.

User Tamakisquare
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3.2k points
21 votes
21 votes

Answer: x = 25

Explanation:

(x-7) = 36/2

x-7 = 18

x = 18 +7

x = 25

User Silvio Troia
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