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Solve the following equation:
2|x−5|+16=30.
  • a)
     
    x=0;10
  • b)
    x=2
  • c)
     
    x=−7;7
  • d)
     
    x=−9:16
  • e)
     
    x=−2;12
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Solve the following equation:2|x−5|+16=30.a)x=0;10b)x=2c)x=&minu...
We start by isolating the absolute value expression:
2|x−5|+16=30⇔2|x−5|=30−16=14⇔|x−5|=7
This gives us two cases when we remove the absolute value:
x−5=7 and x−5=−7
Then we solve for each case:
x−5=7⇒x=7+5⇒x=12
x−5=−7⇒x=−7+5⇒x=−2
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Solve the following equation:2|x−5|+16=30.a)x=0;10b)x=2c)x=−7;7d)x=−9:16e)x=−2;12Correct answer is option 'E'. Can you explain this answer?
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