Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
`2x^(2)+6sqrt(3)x-60=0`

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 2x^(2)+5sqrt(3)x+6=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: x^(2)-6x+4=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: x^(2)+x+2=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: x^(2)-4x-1=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 3x^(2)-2sqrt(6)x+2=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 3x^(2)-2x+2=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 16x^(2)=24x+1

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 2x^(2)+ax-a^(2)=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 25x^(2)+30x+7=0

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 2sqrt(3)x^(2)-5x+sqrt(3)=0