" (vil) "(k+1)x^(2)-2(3k+1)x+(8k+1

Find the values of k for which (k+1)x^(2)-2(3k+1)x+8k+1=0 has real and equal roots.

Find the values of k for which (k+1)x^2-2(3k+1)x+8k+1=0 has real and equal roots.

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

Find the value of k if the following equations have equal roots i) x^(2)–2(1+3k)x+7(3+2k)= 0 ii) x^(2) -15 - k(2x – 8) = 0 iii) (3k+1)x^(2)+2(k+1)x+k=0 iv) x^(2)+2(k+2)x+9k=0

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

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

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