Jitender Gupta and Divya Malik Solutions for Exercise 1: Topic Exercise

Check whether the given equation is quadratic or not.
$x^2-\frac{1}{x^2}=5$

If the roots of the following quadratic equation $\frac{14}{x+3}-1=\frac{5}{x+1};x\ne -3,-1$are $x=p,q$, the find the value of $p+q$.

If the roots of the quadratic equation [applying the quadratic formula] is $\frac{mc}{b}$ and $\frac{nb}{a}$ then find the value of $m+n$. 

$ab{x}^2+\left(b^2-ac\right)x-bc=0,a,b\ne 0$.

Find the roots of the following quadratic equations by applying the quadratic formula.

$3a^2{x}^2+8abx+4b^2=0,a\ne 0$

 In each of the given equation, find the value and unknown constant for which the given value is solution of the equation.

$x^2-k^2=0,x=0.3$

 In each of the following equation, find the value and unknown constant for which the given value is the solution of the equation.

$3x^2+2ax-3=0; x=-\frac{1}{2}$

 In the given equation, find the value and  unknown constant for which the given value is a solution of the equation.

${\text{7x}}^2+\mathrm{kx}-3=0; \mathrm{x}=\frac{2}{3}$

 In the given equation, find the value and unknown constant for which the given value is solution of the equation.

$a{x}^2+bx+1=0; x=1,x=2$