If `a in (-1,1),` then roots of the quadratic equation `(a-1)x^2+a x+sqrt(1-a^2)=0` are a. real b. imaginary c. both equal d. none of these

If a in(-1,1), then roots of the quadratic equation (a-1)x^(2)+ax+sqrt(1-a^(2))=0 are a.real b.imaginary c.both equal d.none of these

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

The roots of the quadratic equation x^2+6x+5=0 a)5,-1 b)2,3 c)6,-1 d)-2,-3

If both roots of quadratic equation (alpha+1)x^(2)-21-(1+3 alpha)x+1+8 alpha=0 are real and distinct then alpha be

IF c is real, show that the roots of the quadratic equation cx^2+(c-1)x+1-2c=0 are real. If the sum of the roots of the equation be equal to three times their difference, then find c.