x^(2)-2(5+2k)x+3(7+10k)=0

Find the values of k for which the roots are real and equal in the following equations: (i) 4x^2-3k x+1=0 (ii) x^2-2(5+2k)x+3(7+10 k)=0

IF the roots of x^2-2(5 + 2k ) x+ 3 (7+10k) are equal then k=

For what values of k ,the equation x^(2)-2(1+3k)x+7(3+2k)=0 has equal roots?

Determine k such that the quadratic equation x^(2)+7(3+2k)-2x(1+3k)=0 has equal roots :

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 (2k+1)x^(2)+2(k+3)x+(k+5)=0 has real and equal roots.

If 2x^(2)+2y^(2) +4x+5y+1=0 and 3x^(2)+3y^(2)+6x -7y+3k=0 are orthogonal ,then value of k is

The value of k for which equations x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-2)x+3k-5=0 has two different pair of equal roots is

The value of k for which equations x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-2)x+3k-5=0 has two different pair of equal roots is