the denominator of a fraction is one more than thrice of the numerator.If the sum of the fraction and its reciprocal is 281/80,then find the fraction.
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Let the numerator be x
let the denominator be y
1+3y=x
x=3y+1 ---------(1)
x/y + y/x = 281/80
3y+1/y + y/3y+1 = 281/80
substituting the above statement with x and simplifying, we get a quadratic equation,
43y^2 - 199y - 80 = 0
Now, using the formula method,
we get the final answer as 5.
Hope this helped. :D
let the denominator be y
1+3y=x
x=3y+1 ---------(1)
x/y + y/x = 281/80
3y+1/y + y/3y+1 = 281/80
substituting the above statement with x and simplifying, we get a quadratic equation,
43y^2 - 199y - 80 = 0
Now, using the formula method,
we get the final answer as 5.
Hope this helped. :D
sree70:
what is the other answer, Imean other x=?
You Can simplify and find out
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