Question

1 solve:

(x-4)² /18= 2/9
​

Answer 1

${\boxed{\mathbb{ANSWER}}}$

$\implies\frac{ {(x - 4)}^{2} }{18} = \frac{2}{9} \\ \\ \implies \: \frac{ {x}^{2} + 16 - 8x }{18} = \frac{2}{9} \\ \\ \implies \: \frac{ {x}^{2} + 16 - 8x }{2} = \frac{2}{1} \\ \\ \implies \: {x}^{2} + 16 - 8x = 4\\ \\ \implies \: {x}^{2} + 16 - 4 - 8x = 0 \\ \\ \implies {x}^{2} + 12 - 8x = 0 \\ \\ \implies \: {x}^{2} - 8x + 12 = 0 \\ \\ \implies {x}^{2} - 6x - 2x + 12 = 0 \\ \\ \implies \: x(x - 6) - 2(x - 6) = 0 \\ \\ \implies \: (x - 2)(x - 6) = 0 \\ \\ \implies \: x = 2 \: or \: x = 6$