Question

the denominator of the fraction is one more than twice the numerator. if the sum of the fraction and its reciprocal is 2 16/22 find the fraction​

Answer 1

Answer:

x=3.4

Step-by-step explanation:

x/y

y=2x+1

x/y+y/x=30/11

x²+y²=30/11(xy)

11x²+11y²=30xy

11x²+11y²-30xy=0

11(x²+[2x+1]²)-30x(2x+1)=0

11(5x²+4x+1)-60x²-30x=0

5x²-14x-11=0

x=[14±√196-4(5)(-11)]/2[5]

x=14±√196+220/10=1.4±[√416/10]

x=1.4±2/5√26        √26=5.09

x=1.4±2/5(5.0)

x=1.4±2

x=3.4

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