Find the complete set of real values of 'a' for which both roots of the quadratic equation `(a^2-6a+5)x^2-sqrt(a^2+2a)x+(6a-a^2-8)=0` lie on either side of the origin

Find the complete set of real values of 'a' for which both roots of the quadratic equation (a^(2)-6a+5)x^(2)-sqrt(a^(2)+2ax)+(6a-a^(2)-8)=0 lie on either side of the origin

Find the roots of the quadratic equation 6x^2-x-2=0 .

Find the roots of the quadratic equation 6x^(2)-x-2=0

Find the roots of the quadratic equation 6x^(2)-x-2=0 .

Find the roots of the quadratic equation 3x^(2)-2sqrt(6)x+2=0

Find the roots of the quadratic equation 3x^2-2sqrt(6)x+2=0

Find the roots of the quadratic equation 3x^(2)-2sqrt(6)x+2=0