Show that the following equation can have at most one real root `3x^5-5x^3+21x+3sinx+4cosx+5=0`

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

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

Find whether the following equations have real roots. If real roots exist, find them 5x^(2)-2x-10=0

Find whether the following equations have real roots. If real roots exist, find them -2x^(2)+3x+2=0

Find whether the following equations have real roots. If real roots exist, find them 1/(2x-3)+1/(x-5)=1,x!=3/2,5

Find whether the following equations have real roots. If real roots exist, find them x^(2)+5sqrt(5)x-70=0

The value(s) of a, so that following equation (s) have common root(s) x^3-2x^2-x+a=0 and x^2-5x+2a=0 is/are a. 0 b. 2 c. (21)/8 d. 3/8

intdx/(3sinx-4cosx+5)

Find the equation whose are the translates of the roots of 3x^5 -5x^3 +7 =0 by 4

Find the roots of the following quadratic equations by the factorisation method. 2/5x^(2)-x-3/5=0