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

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

Find the value of p/k for each of the following quadratic equations, so that they have two equal roots— :- k^2x^2-2(2k-1)x+4=0 .

Find the value of k for real and equal roots *(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

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

The following equations have equal roots find k in each equation. k^2x^2 - 2(2k – 1) x + 4 =0 .

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

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

Let f(x)=(a_(2k)x^(2k)+a_(2k-1)x^(2k-1)+...+a_(1)x+a_(0))/(b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)) , where k is a positive integer, a_(i), b_(i) in R " and " a_(2k) ne 0, b_(2k) ne 0 such that b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)=0 has no real roots, then