Question

Solve the following quadratic equation by factorization, whole no root is:
$7x+\frac{3}{x}=35\frac{3}{5}$

Answer 1

$7x+\frac{3}{x}=35\frac{3}{5}$

$\Rightarrow$ $7x+\frac{3}{x}=\frac{178}{5}$

$\Rightarrow$ $35x^2+15=178x$

$\Rightarrow$ $35x^2-178x+15=0$

$\Rightarrow$ $35x^2-175x-3x+15=0$

$\Rightarrow$ $35x(x-5)-3(x-5)=0$

$\Rightarrow$ $(x-5)(35x-3)=0$

$\Rightarrow$ $x-5=0$ and $35x-3=0$

$\Rightarrow$ $x=5$ and $x=\frac{3}{35}$

$\therefore$ Here, we can see whole number root is $5$.