x^(2)-2(k+1)x+k^(2)=0

If the equation x^(2)+2(1+k)x+k^(2)=0 has equal roots, what is the value of k ?

The integer k ,for which the inequality x^(2)-2(3k-1)x+8k^(2)-7>0 is valid for every x in R is

Find the value of k for real and equal roots *(k+1)x^(2)-2(k-1)x+1=0

If the equation x^(2)-(2k+1)x+k+2=0 has exactly one root in (0,2) such that maximum possible negative integral value of k is m and minimum possible positive integral value of k is M ,then |M - m| is

If the equation x^(2)-(2k+1)x+(3k+2)=0 has exactly one root in (-1,4), then the possible interval of the values of k is

What is the least integral value of k for which the equation x^(2) - 2(k-1)x + (2k+1)=0 has both the roots positive ?

Let x_(1) and x_(2) be the real roots of the equation x^(2)-(k-2)x+(k^(2)+3k+5)=0 then the maximum value of x_(1)^(2)+x_(2)^(2) is

The number of value of k for which [x^(2)-(k-2)x+k^(2)]xx[x^(2)+kx+(2k-1)] is a perfect square is a.2.1 c.0 d.none of these

Find the values of k for which roots of the following equations are real and equal: (i) 12x^(2)+4kx+3=0 (ii) kx^(2)-5x+k=0 (iii) x^(2)+k(4x+k-1)+2=0 (iv) x^(2)-2(5+2k)x+3(7+10k)=0 (v) 5x^(2)-4x+2+k(4x^(2)-2x-1)=0 (vi) (k+1)x^(2)-2(k-1)x+1=0 (vii) x^(2)-(3k-1)x+2k^(2)+2k-11=0 (viii) 2(k-12)x^(2)+2(k-12)x+2=0

Find the values of k for which the roots are real and equal in the following equations: (3k+1)x^(2)+2(k+1)x+k=0 (ii) kx^(2)+kx+1=-4x^(2)-x