Q . The sum of a fraction and its reciprocal is 85/18.Find the fraction.
This is a 2 marker
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1/x + x = 85/18
1 +x^2 / x = 85/18
18(1+x^2) = 85x
18x^2 - 85x + 18 = 0
18x^2 - 81x - 4x + 18 = 0
9x(2x-9) - 2(2x-9) = 0
(9x-2) (2x-9) = 0
x = 2/9 , 9/2
1 +x^2 / x = 85/18
18(1+x^2) = 85x
18x^2 - 85x + 18 = 0
18x^2 - 81x - 4x + 18 = 0
9x(2x-9) - 2(2x-9) = 0
(9x-2) (2x-9) = 0
x = 2/9 , 9/2
Answered by
0
2x=reciprocal of 85/18
2x=18/85
x=18/85x1/2
x=9/85
2x=18/85
x=18/85x1/2
x=9/85
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