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Determine the Nature of the Roots of the Following Quadratic Equation: `3x^2-2sqrt6x+2=0` - CBSE Class 10 - Mathematics

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Question

Determine the nature of the roots of the following quadratic equation:

`3x^2-2sqrt6x+2=0`

Solution

The given quadric equation is `3x^2-2sqrt6x+2=0`

Here, a = 3, `b=-2sqrt6` and c = 2

As we know that D = b2 - 4ac

Putting the value of a = 3, `b=-2sqrt6` and c = 2

`D = (-2sqrt6)^2-4xx3xx2`

= 24 - 24

= 0

Since, D = 0

Therefore, root of the given equation are real and equal.

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Solution Determine the Nature of the Roots of the Following Quadratic Equation: `3x^2-2sqrt6x+2=0` Concept: Nature of Roots.
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