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

Solve for x :  2x^2+6sqrt3x-60=0

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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