Question

Help solve equations by completing the square

Answer 1

$x^2+10x+22=13\\x^2+10x+22-13=0\\x^2+10x+9=0$

Now completing the square.

$(x^2+10x)+9=0\\(x^2+10x+25)+9-25=0\\(x+5)^2-16=0\\(x+5)^2=16$

(x+5)² = 16 is the rewritten equation... For first question btw.

For the solutions to the equation -

$x+5=\sqrt{16},-\sqrt{16} \\x+5=4,-4\\x=4-5,-4-5\\x=-1,-9$

x = -1,-9 is the solution, for the second question.