Question

(2x-3)^2=49^{2} = 49" alt="(2x - 3 ) ^{2} = 49" align="absmiddle" class="latex-formula">
completing the square

Answer 1

$(2x-3)^2=49\iff2x-3=\pm\sqrt{49}\\\\2x-3=-7\ \vee\ 2x-3=7\ \ \ |+3\\\\2x=-4\ \vee\ 2x=10\ \ \ \ |:2\\\\x=-2\ \vee\ x=5$