Equations Reducible to Quadratic Equations

Solve the equation $2x+\frac{3}{x}=5$.

Solve the following equation: $(x+1)(x+2)(x+3)(x+4)=24$.

Solve the following equation: $x+\frac{2}{x}=3$.

Solve the following equation: $x^4-7x^2+12=0$.

Solve the equation $\left(x+9\right)\left(x-3\right)\left(x-7\right)\left(x+5\right)=385$.

The real roots of the equation $\left(x-7\right)\left(x-3\right)\left(x+5\right)\left(x+1\right)=1680$ are

The roots of the equation $\left(x-a\right)\left(x-b\right)+\left(x-b\right)\left(x-c\right)+\left(x-c\right)\left(x-a\right)=0$, where $a,b,c<0$.

Solve: $\frac{x}{x+2}+\frac{2}{\left(x+2\right)\left(x+3\right)}=\frac{5}{x+3}$.

Solve and find the value of:

$x\left(x+1\right)-\left(x-2\right)\left(x-3\right)=6$

Solve given equation by reducing it to quadratic equations:  

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

Solve given equation by reducing it to quadratic equations:  

${\left(\sqrt{x}\right)}^2+2\sqrt{x}+1=0$ 

The number of real roots of $f\left(x\right)=0$, where $f\left(x\right)=\left(x-1\right)\left(x-2\right)\left(x-3\right)\left(x-4\right)$ lying in the interval $\left(1,3\right)$ is