Home
Class 12
MATHS
If equation x^5+10x^2+x+5=0 has one root...

If equation `x^5+10x^2+x+5=0` has one roots as alpha then (A) `[alpha]=-3 `(where [.] denotes the greatest integer function) (B) number of roots between -2 and -1 is three (C) number of real roots is 3 (D) equation has at least one positive root

Promotional Banner

Similar Questions

Explore conceptually related problems

if alpha is a real root of 2x^(3)-3x^(2)+6x+6=0 then find [alpha] where [] denotes the greatest integer function.

if alpha is a real root of 2x^3-3x^2 + 6x + 6 = 0, then find [alpha ] where [] denotes the greatest integer function.

If x^2-(a-3)x+a =0 has at least one positive root,then

The equation x^(3) - 3x + [a] = 0 , will have three real and distinct roots if (where [*] denotes the greatest integer function)

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

Show that the equation x^(3)+2x^(2)+x+5=0 has only one real root, such that [alpha]=-3 , where [x] denotes the integral point of x

The equation x^(3)-3x+[a]=0, where [^(*)] denotes the greatest integer function,will have three real and distinct roots if