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Question
Write the discriminant of the following quadratic equations:
`sqrt3x^2+2sqrt2x-2sqrt3=0`
Solution
We have been given, `sqrt3x^2+2sqrt2x-2sqrt3=0`
Now we also know that for an equation ax2 + bx + c = 0, the discriminant is given by the following equation:
D = b2 - 4ac
Now, according to the equation given to us, we have,`a=sqrt3`, `b=2sqrt2` and `c=-2sqrt3`.
Therefore, the discriminant is given as,
`D = (2sqrt2)^2-4(sqrt3)(-2sqrt3)`
= 8 + 24
= 32
Therefore, the discriminant of the equation is 32.
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