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State whether the following quadratic eq...

State whether the following quadratic equations have two distinct real roots. Justicy your answer:
`(x-1)(x+2)+2=0`

Text Solution

Verified by Experts

Given equation is
`(x-1)(x+2)+2=0`
`implies x^(2)+x-2+2=0`
`implies x^(2)+x+0=0`
on comparing the equation with `ax^(2)+bx+c=0` we have
`a=1,b=1` and `c=0`
`:.` Discriminant `D=b^(2)-4ac`
`=1-4(1)(0)=1lt0` i.e. `Dlt0`
Hence equation has two distinct real roots.
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