If the six roots of `x^6 = -64` are written in the form `a + ib`, where a and b are real, then the product ofthose roots for which `a lt 0` is

If the six roots of x^(6)=-64 are written in the form a+ib, where a and b are real,then the product ofthose roots for which a<0 is

The product of all the roots of the equation x^(2)-|x|-6=0 is

The product of the roots of the equation x|x|-5x-6=0 is equal to

If the roots of x^(4)+5x^(3)-30x^(2)-40x+64=0 are in G.P.,then the roots are

If alpha , beta are the roots of x^(2)-a(x-1)+b-0 , then the value of product of the roots is ..

The roots of the quadratic equation ax^(2) + bx + c = 0 (a ! = 0 ) are given x = (-b pm sqrt(b^(2) - 4ac))/(2a) are (i) real and distinct roots if D gt 0 (ii) repeated roots if D = 0 no real roots if D lt 0 , where D = b^(2) - 4ac The nature of the roots of quadratic equation 4x^(2) + 20x + 25 = 0 is

If the roots of the equation ax^2 +x+b=0 be real, and unequal then the roots of the equation x^2-4sqrt(ab)x + 1 = 0 will be

lf 0 < a < b < c < d, then the quadratic equation ax^2 + [1-a(b+c)]x+abc-d=0 A) Real and distinct roots out of which one lies between c and d B) Real and distinct roots out of which one lies between a and b C) Real and distinct roots out of which one lies between b and c (D) non -real roots