If `f(x)=x ` has non real roots, then the equation `f(f(x))=x` (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

Find the value of k for which equation 4x^(2)+8x-k=0 has real and equal roots.

Let f(x)=x^3+x^2+10x+7sinx, then the equation 1/(y-f(1))+2/(y-f(2))+3/(y-f(3))=0 has (A) no real root (B) one real roots (C) two real roots (D) more than two real roots

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0 has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots

If 0ltalphaltbetaltgammaltpi/2 then the equation 1/(x-sinalpha)+1/(x-sinbeta)+1/(x-singamma)=0 has (A) imaginary roots (B) real and equal roots (C) real and unequal roots (D) rational roots

Show that the equation x^(2)+5x-6=0 has real roots.

Show that the equation 2x^(2)-6x+7=0 has no real root.

Prove that the equation 3x^(5)+15x-18=0 has exactly one real root.

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). Equation f(x) = x has (A) three real and positive roots (B) three real and negative roots (C) one real root (D) three real roots such that sum of roots is zero

If x^(2)+bx+x=0 has no real roots and a+b+c lt 0 then