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Solve for x :  2x^2+6√3x-60=0 - Mathematics

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Solve for x : ` 2x^2+6sqrt3x-60=0`

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Solution

Consider the given equation:

`2x^2+6sqrt3x-60=0`

`x^2+3sqrt3-30=0`

Let us the quadratic formula to find x.

`x=(-b+-sqrt(b^2-4ac))/(2a)`

Here, a = 1, b = 3√3 and c =-30
Thus,

`x=(-3sqrt3+-sqrt((3sqrt3)^2-4xx1xx(-30)))/(2xx1)`

`x=(-3sqrt3+-sqrt(27+120))/2`

`x=(-3sqrt3+-sqrt147)/2`

 

Concept: Nature of Roots
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