Position of Roots

Positive geotropic response of root is

If a,b,c are positive real numbers, then the number of positive real roots of the equation ax^(2)+bx+c=0 is

if the equation sin(pi x^(2))-sin(pi x^(2)+2 pi x)=0 is solved for positive roots,then in the increasing sequence of positive root

Prove that x^(6)+x^(4)+x^(2)+x+3=0 has no positive real roots.

Find the number of positive real roots of x^(4)-4x-1=0

The positive root of sqrt(3x^(2)+6)=9 is

The positive root of sqrt(3x^(2) + 6) = 9 is

If a,b,c in R and abc<0, then equation bcx^(2)+(2b+c-a)x+a=0 has (a).both positive roots (b) both negative roots (c).real roots (d) one positive and one negative root