Question

Help me please!!! I’m stuck on a question

Answer 1

first option

Explanation:

given the equation

x³ - x² + 5x - 5 = 0 ( factor the first/second and third/fourth terms )

x² (x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(x² + 5) = 0

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x² + 5 = 0 ( subtract 5 from each side )

x² = - 5 ( take square root of both sides )

`√(x^2)` = ±
`√(-5)` [ note that
`√(-1)` = i ]

x = ±
`√(-1(5))` = ± (
`√(-1)` ×
`√(5)` ) = ± i
`√(5)`

the roots are x = 1 , x = - i
`√(5)` , x = i
`√(5)`