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# In the Following, Determine Whether the Given Values Are Solutions of the Given Equation Or Not: X+1/X=13/6, X=5/6, X=4/3 - CBSE Class 10 - Mathematics

#### Question

In the following, determine whether the given values are solutions of the given equation or not:

x+1/x=13/6, x=5/6, x=4/3

#### Solution

We have been given that,

x+1/x=13/6

x+1/x-13/6=0, x=5/6, x=4/3

Now if x=5/6 is a solution of the equation then it should satisfy the equation.

So, substituting x=5/6 in the equation, we get

x+1/x-13/6

=5/6+(1/(5/6))-13/6

=5/6+6/5-13/6

=(25+36-65)/30

=(-4)/30

Hence x=5/6 is not a solution of the quadratic equation.

Also, if x=4/3 is a solution of the equation then it should satisfy the equation.

So, substituting x=4/3 in the equation, we get

x+1/x-13/6

=4/3+(1/(4/3))-13/6

=4/3+3/4-13/6

=(16+9-26)/12

=(-1)/12

Hence, x=4/3 is not a solution of the quadratic equation.

Therefore, from the above results we find out that both x=5/6 and x=4/3 are not the solutions of the given quadratic equation.

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Solution In the Following, Determine Whether the Given Values Are Solutions of the Given Equation Or Not: X+1/X=13/6, X=5/6, X=4/3 Concept: Quadratic Equations.
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