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

The following equations have equal roots find k in each equation. x^2 - 2(5 + 2k) x + 3(7 + 10k) = 0 .

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

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

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 :

If 3x+4y+k=0 represents the equation of tangent at the vertex of the parabola 16x^(2)-24xy^(2)+14x+2y+7=0 , then the value of k is ________ .

If 3x+4y+k=0 represents the equation of tangent at the vertex of the parabola 16x^(2)-24xy^(2)+14x+2y+7=0 , then the value of k is ________ .

If 3x+4y+k=0 represents the equation of tangent at the vertex of the parabola 16x^(2)-24xy^(2)+14x+2y+7=0 , then the value of k is ________ .