M L Aggarwal Solutions for Chapter: Quadratic Equations, Exercise 3: Exercise 4.3

Solve the following quadratic equations for $x$

$2x^2+ax-a^2=0$

Solve the following quadratic equations for $x$

$x^2-3x-m\left(m+3\right)=0$

Solve the following quadratic equation by using the quadratic formula:

$a\left(x^2+1\right)=\left(a^2+1\right)x,a\ne 0$

Solve the following quadratic equation by using the quadratic formula:

$x^2+6x-\left(a^2+2a-8\right)=0$

Solve the following quadratic equation by using the quadratic formula:

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

Solve the following quadratic equation by using the quadratic formula:

$\frac{1}{x}+\frac{1}{x-2}=3, x\ne 0, 2$

Solve the following quadratic equation by using the quadratic formula:

$\frac{1}{x+1}+\frac{3}{5x+1}=\frac{5}{x+4}, x\ne -1, \frac{-1}{5}, -4$

Solve for $x$

$2\left(\frac{2x-1}{x+3}\right)-3\left(\frac{x+3}{2x-1}\right)=5, x\ne -3, \frac{1}{2}$