Determine the values of `m` for which equations `3x^2+4m x+2=0a n d2x^2+3x-2=0` may have a common root.

The number of values of a for which equations x^3+a x+1=0a n d x^4+a x^2+1=0 have a common root is a. 0 b. 1 c. 2 d. Infinite

Determine the value of k such that the equation (2k-5)x^2-4x-15=0 and (3k-8)x^2-5x-21=0 may have a common root.

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

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

Determine the nature of the roots of the equation 2x^(2) + x - 1 = 0

Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+d=0a n d 2ax^2+3b x+4c=0 have a common root.

Find all real values of x which satisfy x^2-3x+2>0a n dx^2-2x-4lt=0.

The value of x for which the equation 5*3^(log_3x)-2^(1-log_2x)-3=0

If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root, then the value k .

If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0a n d5x^2+12x+13=0 have a common root, then find /_Cdot