M L Aggarwal Solutions for Chapter: Quadratic Equations, Exercise 4: Exercise 4.4

Find the value(s) of $k$ for which following equation has equal roots: $kx\left(x-3\right)+9=0$

Find the value(s) of $k$ for which following equation has equal roots: $kx\left(3x+10\right)+25=0$

Find the value(s) of $k$ for which following equation has equal roots: $kx\left(x-2\sqrt{5}\right)+10=0$

Find the value(s) of $k$ for which following equation has equal roots: $x^2+k\left(2x+k-1\right)+2=0$

Find the non-zero value of $k$, for which the quadratic equation $\left(3k+1\right)x^2+2\left(k+1\right)x+1=0$ has equal roots. Hence, find the roots of the equation.

If $-2$ is a root of the quadratic equation $3x^2+7x+p=0$, find the values of $k$ for which the roots of the equation $x^2+k\left(4x+k-1\right)+p=0$ are equal.

Determine the value(s) of $p$ for which quadratic equation $2x^2+3x+p=0$ has real roots.

In the quadratic equation $k{x}^2-6x-1=0$, determine the values of $k$ for which the equation does not have real roots.