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State whether the following quadratic eq...

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

Text Solution

Verified by Experts

Gien equation is `2x^(2)+x-1=0`
On comparing with `ax^(2)+bx+c=0` we get
`a=2,b=1` and `c=-1`
`:.` Discriminant `D=b^(2)-4ac=(1)^(2)-4(2)(-1)`
`=1+8=9gt0` i.e. `Dlt0`
Hence the equation `2x^(2)+x-1=0` has two distinct real roots.
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