" (xvii) "4x^(2)-2(k+1)x+(k+4)=0

Find the values of k for which 4x^(2)-2(k+1)x+(k+4)=0 has real and equal roots.

Find the values of k for which 4x^2-2(k+1)x+(k+4)=0 has real and equal roots.

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

25. The integer k for which the inequality x^2 -2(4k 1)x 15k 2k-7 0 is valid for any real x is (2) 3 (3) 4 (4) 5

For what value of K does 4x^(2)-2(K+1)x+(K+1)=0 have real and equal roots ?

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Find the values of k for which the roots are real and equal in the following equations: (i) k x^2+4x+1=0 (ii) k x^2-2sqrt(5)x+4=0

Find the values of k for which (4-k)x^(2)+(2k+4)x+(8k+1)=0 has real and equal roots.

For what value of k,(4-k)x^(2)+(2k+4)x+(8k+1)=0 is a perfect square.

Find the value of k for which the given equation has real and equal roots: 2x^(2)-10x+k=09x^(2)+3kx+4=012x^(2)+4kx+3=02x^(2)+3kx+4=02x^(2)-kx+1=0kx^(2)-5x+k=0x^(2)+kx+1=0kx^(2)-5x+k=0x^(2)+k(4x+k-1)+2=0x^(2)-2x(1+3k)+7(x+2k)=0(k+1)x^(2)-2(k-1)x+1=0