1.

Determine whether the values given against each of the quadratic equations are the roots of the quadratic equation or not :

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Solution :Substituting m=2,
`LHS=2(2)^(2)-5(2)`
=2(4)-10
=8-10
`=-2neRHS`
`:.m=2` is not the ROOT of the GIVEN QUADRATIC equation.
Substituting `m=(5)/(2)`
`LHS=2((5)/(2))^(2)-5((5)/(2))`
`=2((25)/(2))-(25)/(2)`
`=(25)/(2)-(25)/(2)=0=RHS`
`:.m=(5)/(2)` is the root of the given quadratic equation.


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