Question

sovle the quadratic equation x² - 11x + 30 = 0 by the method of completing square​

Answer 1

           

$\Rightarrow\ x^2-11x+30=0 \\ \\ \Rightarrow\ x^2-11x=-30 \\ \\ \Rightarrow\ x^2-11x+30.25=-30+30.25 \\ \\ \Rightarrow\ (x-5.5)^2=0.25 \\ \\ \Rightarrow\ x-5.5=\pm\sqrt{0.25} \\ \\ \Rightarrow\ x-5.5=\pm0.5 \\ \\ \Rightarrow\ x=5.5\pm0.5 \\ \\ \Rightarrow\ x=\bold{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \boxed{ OR }\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=\bold{5}$

Thank you. :-))