Question 113711
If fifteen less than two times a number is divided by six more than the number, the result is four less than nine times the reciprocal of that number. Find the number
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Let the number be "x".
EQUATION:
(2x-15)/(x+6) = (9/x)-4
(2x-15)/(x+6) = (9-4x)/x
Cross-multiply to get:
2x^2-15x = (x+6)(9-4x)
2x^2-15x = -4x^2-15x+54
6x^2=54
x^2 = 9
x = 3 or x = -3
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Cheers,
Stan H.