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State whether the following quadratic eq...

State whether the following quadratic equations have two distinct real roots. Justicy your answer:
`3x^(2)-4x+1=0`

Text Solution

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Given equation is `3x^(2)-4x+1=0`
On comparing with `ax^(2)+bx+c=0` we get
`a=3,b=-4` and `c=1`
`:.` Discriminant `D=b^(2)-4ac=(-4)^(2)-4(3)(1)`
`=16-12=4gt0` i.e. `Dgt0`
Hence the equation `3x^(2)-4x+1=0` has two distinct real rots.
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NCERT EXEMPLAR-QUADRIATIC EQUATIONS-Quadratic Equations
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