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: 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: x^(2)-6x+4=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: 2x^(2)+5sqrt(3)x+6=0

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 equation, if they exist, by applying the quadratic formula: 16x ^2−24x−1=0

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