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2 years ago

Solve x for (x-2)²-6x=1

Mathematics

1 answer:

Roman55 [17]2 years ago

4 0

Answer:

x ≈ 9.69, 0.31

Step-by-step explanation:

Given:

(x - 2)² - 6x = 1

We'll expand the squared binomial on the left:

x² - 4x + 4 - 6x = 1

Group like terms:

x² - 10x + 4 = 1

Complete the square by adding 21 to both sides:

x² - 10x + 25 = 22

(x - 5)² = 22

And solve for x:

x - 5 = √22

x = 5 ± √22

x ≈ 9.69, 0.31

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