Solve by completing the square

Question 1

Question 2

$\qquad\qquad\huge\underline{{\sf Answer}}☂$

Let's solve ~

$\qquad \sf  \dashrightarrow \: {x}^(2) + 8x = 33$

$\qquad \sf  \dashrightarrow \: {x}^(2) + 8x +16 = 33 + 16$

$\qquad \sf  \dashrightarrow \: (x + 4) {}^(2) = 49$

$\qquad \sf  \dashrightarrow \: x + 4 = √(49)$

$\qquad \sf  \dashrightarrow \: x + 4 = \pm7$

Hence, there are two solutions ~

$\qquad \sf  \dashrightarrow \: x + 4 = 7$

$\qquad \sf  \dashrightarrow \: x = 7 - 4$

$\qquad \sf  \dashrightarrow \: x = 3$

$\qquad \sf  \dashrightarrow \: x + 4 = - 7$

$\qquad \sf  \dashrightarrow \: x = - 7 - 4$

$\qquad \sf  \dashrightarrow \: x = - 11$

I hope you understood ~

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