Home
Class 12
MATHS
The value of b for which the equation x^...

The value of `b` for which the equation `x^2+bx-1=0 and x^2+x+b=0` have one root in common is

A

`-sqrt(2)`

B

`-i sqrt(3)`

C

`isqrt(5)`

D

`sqrt(5)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

Find the value of lamda so that the equations x^(2)-x-12=0 and lamdax^(2)+10x+3=0 may have one root in common. Also, find the common root.

The value of a for which the equation (1-a^2)x^2+2ax-1=0 has roots belonging to (0,1) is

If a, b, c are in GP , then the equations ax^2 +2bx+c = 0 and dx^2 +2ex+f =0 have a common root if d/a , e/b , f/c are in

Number of integral value (s) of k for which the equation 4x^(2)-16x+k=0 has one root lie between 1 and 2 and other root lies between 2 and 3, is

The value of b for which the equation 2 log_(1//25)(bx+28)=- log_(5) (12-4x-x^(2)) has coincident roots is

If a,b,c are in GP, show that the equations ax^(2)+2bx+c=0 and dx^(2)+2ex+f=0 have a common root if a/d,b/e,c/f are in

The roots of the equation 12 x^2 + x - 1 = 0 is :

If each pair of the three equations x^(2)+ax+b=0, x^(2)+cx+d=0 and x^(2)+ex+f=0 has exactly one root in common then show that (a+c+e)^(2)=4(ac+ce+ea-b-d-f)

The number of real roots of the equation e^(x - 1) + x - 2 = 0 is