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Find the discriminant of the quadratic e...

Find the discriminant of the quadratic equation `3sqrt3x^2+10x+sqrt3=0`.

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The correct Answer is:
`x=-sqrt(3)" or "x=(-1)/(3sqrt(3))`
`3sqrt(3)x^(2)+10x+sqrt(3)=0implies3sqrt(3)x^(2)+9x+x+sqrt(3)=0`
`implies3sqrt(3)x(x+sqrt(3))+(x+sqrt(3))=0implies(x+sqrt(3))(3sqrt(3)x+1)=0`
`impliesx=-sqrt(3)" or "x=(-1)/(3sqrt(3)).`
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