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प्रश्न
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`
उत्तर
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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