Find k in the equation `5x^2-kx+1=0` such that the difference between the roots of the equation is unity.

The difference between the roots of the equation x^2-13x+k=0 is 7 , find k.

The difference between the roots of the equation x^2-13x+k=0 is 7 , find k.

The difference between the roots of the equation x^2-13x+k=0 is 7 , find k.

if the difference of the roots of the equation x^(2)-px +q=0 is unity.

if the difference of the roots of the equation x^(2)-px +q=0 is unity.

Find k , if one root of the equation 5x^2+6x+k=0 is five times the other root.

If the product of the roots of the equation x^(2)-5kx+2e^("ln|k|")-1=0 is 49, then the sum of the squares of the roots of the equation is :

Let a, b be the roots of the equation x^2 - kx + k = 0 , k in R . If a^2 + b^2 is the minimum then find the roots of the equation.

Find the non-zero value of k for which the quadratic equations kx^2+1-2(k-1)x+x^2=0 has equal roots. Hence, find the roots of the equation