# Need ASAP. Solve with square root method. [tex](x-1)^{2} -18=0[/tex]

1 answer

###### Question:

Need ASAP. Solve with square root method. [tex](x-1)^{2} -18=0[/tex]

## Answers

Answer:x = 1 ± 3[tex]\sqrt{2}[/tex]Step-by-step explanation:Given(x - 1)² - 18 = 0 ( add 18 to both sides )(x - 1)² = 18 ( take the square root of both sides )x - 1 = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± 3[tex]\sqrt{2}[/tex] ( add 1 to both sides )x = 1 ± 3[tex]\sqrt{2}[/tex], thus the exact solutions arex = 1 - 3[tex]\sqrt{2}[/tex]x = 1 + 3[tex]\sqrt{2}[/tex]

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