Solution of the equation \(|x-2|=5\) is
(a) \(3,-7\)
(c) 3,6
(b) \(-3,7\)
(d) None of these
Solution of the equation \(|x-2|=5\) is (a) \(3,-7\) (c) 3,6 (b) \(-3,7\) (d) None of these
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Solution of the equation \(|x-2|=5\) is
(a) \(3,-7\)
(c) 3,6
(b) \(-3,7\)
(d) None of these
The equation \(|x – 2| = 5\) can be solved by considering the two possible cases for the absolute value:
1. When \(x – 2 \geq 0\):
\[x – 2 = 5\]
\[x = 7\]
2. When \(x – 2 < 0\):
\[-(x – 2) = 5\]
\[x – 2 = -5\]
\[x = -3\]
Therefore, the solutions of the equation \(|x – 2| = 5\) are \(x = 7\) and \(x = -3\), which corresponds to option (b) \(-3, 7\).