Question

Solve the equation (x − 1)² - 4 = 44 for X. Show your work.

Answer 1

x = 1 ± 4
`√(3)`

Explanation:

(x − 1)² - 4 = 44

(x - 1)² = (x - 1) (x - 1) = x² - x - x + 1 = x² - 2x + 1

x² - 2x + 1 - 4 = 44

x² - 2x - 3 = 44

x² - 2x - 47 = 0

Use the quadratic formula to find the solutions.

`\frac{-b± \sqrt{b^(2)-4(ac) } }{2a}`

We get the answer

x = 1 ± 4
`√(3)`

So, the answer is x = 1 ± 4
`√(3)`