The sum of a number and its reciprocal is 65 28 . find the number.
2 answers:
Let
x--------> the number
we know that
x+(1/x)=65/28---------> x+1/x=65/28-----> multiply by x
x²+1=65/28*x-----> x²-(65/28)*x+1=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=1.75-----> 1 3/4----> (4*1+3)//4----> 7/4
so
7/4+4/7----> (7*7+4*4)/28----> (49+16)/28----> 65/28----> is correct
the answer is
the number is 7/4
x--------> the number
we know that
x+(1/x)=65/28---------> x+1/x=65/28-----> multiply by x
x²+1=65/28*x-----> x²-(65/28)*x+1=0
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=1.75-----> 1 3/4----> (4*1+3)//4----> 7/4
so
7/4+4/7----> (7*7+4*4)/28----> (49+16)/28----> 65/28----> is correct
the answer is
the number is 7/4
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