If `a in (-1, 1)`, then roots of the quadratic equation `(a - 1)x^(2) + ax + sqrt(1 - a^(2)) = 0` are

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

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

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2) x + 3=0 form a quadratic equation with roots (1)/(alpha) and (1)/(beta)

If alpha and beta are the roots of the quadratic equation x^(2) + sqrt(2x) + 3 = 0 . Form a quadratic polynomial with zeros (1)/(alpha), (1)/(beta) .

If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are

Find the roots of the quadratic equations by factorisation: 2x^(2)-x+(1)/(8)=0

Find the roots of the quadratic equations by factorisation: 100x^(2)-20x+1=0

If the roots of the quadratic equation ax^(2)+bx-b=0 , where a , b in R such that a*b gt 0 , are alpha and beta , then the value of log_(|(beta-1)|)|(alpha-1)| is

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2