" 15."(x^(2)+1)^(2)-x^(2)=0" has "quad " roots."

Show that (x^(2)+1)^(2)-x^(2)=0 has no real roots.

Show that (x^2+1)^2-x^2=0 has no real roots.

If the equation x^(2)+2(1+k)x+k^(2)=0 has equal roots, what is the value of k ?

If the equation x ^(2) - 15 - m ( 2x-8) =0 has equal roots, find the value of 'm'.

If a_(1)x^(2)+b_(1)x+c_(1)=0 and a_(2)x^(2)+b_(2)x+c_(2)=0 has a common root,then the common root is

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. The equation |1-x|+ x^(2) = 5 has

Is there any real value of 'a' for which the equation x^(2)+2x+(a^(2)+1)=0 has real roots?

Find the value of a if the equation 2x^2-(a+1)x+(a-1)=0 has equal roots.

If the equation x^(2)-15-m(2x-8)=0 has equal roots find the values of m

For what integral values of a, the equation x^(2)-x(1-a)-(a+2)=0 has integral roots. Find the roots.