SOLUTION: The difference between a number and a reciprocal is 4 find the number and express it in it's simplest surd form

Question 950138: The difference between a number and a reciprocal is 4 find the number and express it in it's simplest surd form
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference between a number and a reciprocal is 4 find the number and express it in it's simplest surd form.
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x - (1/x) = 4
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x^2 - 4x - 1 = 0
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x = [4 +- sqrt(16-4*-1)]/2
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x = [4 +- sqrt(20)]/2
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x = 2 +- sqrt(5)
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Cheers,
Stan H.
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