Jitender Gupta and Divya Malik Solutions for Exercise 2: Topic Exercise

Find the value of the discriminant in the following equation

$x^2-5x+1=0$

Find the value of the discriminant in the following equation.

$4x^2-x-3=0$

Find the value of the discriminant in the following equation:

$4\sqrt{3}{x}^2+5x-2\sqrt{3}=0$

Find the value of $k$, for which the roots are real and equal, in the following equation.
$2k{x}^2-40x+25=0$

Find the value of $k$, for which the roots are real and equal, in the following equation.
$(3k+1)x^2+2(k+1)x+k=0$

Find the value of $k$, for which the roots are real and equal, in the following equation.
$x^2+4kx+(k^2-k+2)=0$

For the following equation if the value of $k$ is$k<-2\sqrt{m} \mathrm{or} k>2\sqrt{m}$ for which the given quadratic equation has real roots, then find the value of $m.$
$2x^2+kx+3=0$

For the following equation determine the value of $k$ for which the given quadratic equation has real roots.
$k{x}^2+6x+1=0$