You can put this solution on YOUR website! The reciprocal of 5 less than a number
is 4 times the reciprocal of twice the number.
Find the number.
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Let the number be "x":
Equation:
x - (1/5) = 4(1/(2x))
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(5x-1)/5 = 2/x
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Cross-multiply to get:
5x^2-x = 10
5x^2-x-10 = 0
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x = [1+- sqrt(1-4*5*-10)]/10
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x = [1+- sqrt(1+200)]/10
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x = [1+- sqrt(201)]/10
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x = (1+sqrt(201))/10 or x = (1-sqrt(201))/10
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x = 1.518 or x = -1.318
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Cheers,
Stan H.
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