SOLUTION: if the reciprocal of a certain positive number is one less than twice that number, find the number
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Question 167166: if the reciprocal of a certain positive number is one less than twice that number, find the number
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
the reciprical of x is 1/x.
the reciprical of a/b is b/a
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let x represent the "certain positive number"
Therefore, the reciprical of x is 1/x and 1/x is one less than twice x so:
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Solve for x
multiply both sides by x (remember to put parenthesis around the right side so you do not make an error in multiplying).
reduce on the left and distribute on the right side
move all terms to the same side
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From here you can either plug this into the Quadratic equation or you can complete the square.
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and
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I hope this helps!
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Private tutoring is available. Click on my name to go to my website or email me at justin.sheppard.tech@hotmail.com for more information. If you have any other questions you can direct them to me personally and I will answer them for you.
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