Question

(x-2)^2-6=43

Answer 1

(𝑥−2)(𝑥−2)−6=43

𝑥(𝑥−2)−2(𝑥−2)−6=43

𝑥^2−2𝑥−2(𝑥−2)−6=43

𝑥^2−2𝑥−2𝑥+4−6=43

𝑥^2−4𝑥+4−6=43

𝑥=9

𝑥=−5

Answer 2

\(\Leftrightarrow\left(x-2\right)^2=49\\ \Leftrightarrow\left[{}\begin{matrix}x-2=7\\x-2=-7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\\x=-5\end{matrix}\right.\)

Answer 3

(x-2)^2-6=43
(x-2)^2=49
x-2=7
=>x=9