=0quad (2)x^(2)-3x-2=0

3x^(2)-x-2=0

Determine the values o m for which equations 3x^(2)+4mx+2=0 and 2x^(2)+3x-2=0 may have a common root.

Determine the values of m for which the equations 3x^(2)+4mx+2=0 and 2x^(2)+3x-2=0 may have a common root.

2x^(2)-3x+5=0

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

For what values of m the equations 3x^2+4mx+2=0 and 2x^2+3x-2=0 will have a common root?

If f(x)={(sqrt(1+kx)-sqrt(1-kx))/(x) for 1<=x<0 and 2x^(2)+3x-2f or 0<=x<=1 is continuous at x-0 then k

The largest integral value of k for which the equation (x-1)(x-2)(x-3)(x-4)+k=0 has real roots is a root of the equation (a) x^(2)-3x+2=0 (b) x^(2)+3x+2=0 (c) x^(2)-7x+12=0(d)x^(2)+7x+12=0

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0