Question

I need help solving this problem.

Answer 1

B and C

Step-by-step explanation

Answer 2

B and D

Explanation:

x² - 5x + 5 = 0

using the method of completing the square to solve

subtract 5 from both sides

x² - 5x = - 5

to complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(-
`(5)/(2)` )x +
`(25)/(4)` = - 5 +
`(25)/(4)`

(x -
`(5)/(2)` )² = -
`(20)/(4)` +
`(25)/(4)` =
`(5)/(4)` ( take square root of both sides )

x -
`(5)/(2)` = ±
`\sqrt{(5)/(4) }` = ±
`(√(5) )/(2)` ( add
`(5)/(2)` to both sides )

x =
`(5)/(2)` ±
`(√(5) )/(2)`

Then

x =
`(5-√(5) )/(2)` → B

x =
`(5+√(5) )/(2)` → D