Question

Find the roots:-
$\left(x-3\right)\left(x-4\right)={\left(\frac{34}{33}\right)}^2$

Answer 1

$\begin{array}{c}\left(x-3\right)\left(x-4\right)={\left(\frac{34}{33}\right)}^2\\ x^{{}^2}-7x+12=\frac{1156}{1086}\\ 1089x^2-7623x+13068=1156\\ 1089x^2-7623x+11912=0\\ x=\frac{7623\pm \sqrt{{7623}^2-4\left(1089\right)\left(11912\right)}}{2\times 1089}\end{array}$