`x^2-2kx+7k-12=0`

Find the values of k for which the roots are real and equal in the following equations: (i) (k+1)x^2+2(k+3)x+(k+8)=0 (ii) x^2-2k x+7k-12=0

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

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

If one root of x^3 - 12x^2 +kx -18=0 is thrice the sum of remaining two roots then k=

If one root of x^3 - 12x^2 +kx -18=0 is thrice the sum of remaining two roots then k=

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

If one root of x^2+kx +12 =0 may be the triple the other , then k=

If one root of x^2+kx +12 =0 may be the triple the other , then k=