For what value of k, the equation `5x^2 + 10x+ k = 0` have equal roots? What are the equal roots?

For what value of k the equation 2x^2-2kx+k=0 will have real and equal roots.

For what value of m will the equation x^2 -(3m - 1) x + 2m^2 + 2m - 11 =0 have equal roots? Find the roots.

For what value of k, the function f(x) = kx^3 +5 is decreasing?

For what of k the equation 2x^2-2kx+k=0 will have Two unequal roots. Further if k is a rational number, for what value or values, of k, the roots will be rational.

For which value of k the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots find that value

The roots of the equation ax^2+x+b=0 are equal if

Find the value of k such that the equation (k - 12)x^2 - 2(k – 12)x + 2 = 0 may have equal roots.

For what value of a, the equation 3x^2 + 2 (a^2 + 1) x + (a^2 - 3a + 2) = 0 possesses roots of opposite sign?

For what value of k,the lines 3x+2y-4=0 and kx-4y+5=0 are parallel?

For what value of k, the function f(x)=k(x +sin x)+ k is increasing?