Question

Pls find the zeros



in 10th level​

Answer 1

x = - 3
`√(2)`, x =
`√(2)`

Explanation:

Given

x² + 2
`√(2)` x - 6

To calculate the zeros equate to zero

x² + 2
`√(2)` x - 6 = 0 ( add 6 to both sides )

x² + 2
`√(2)` x = 6

One way is to use the completing the square method

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

x² + 2
`√(2)` x + (
`√(2)`)² = 6 + (
`√(2)`)²

x² + 2
`√(2)` x + 2 = 6 + 2

(x +
`√(2)` )² = 8

Take the square root of both sides

x +
`√(2)` = ±
`√(8)` = ± 2
`√(2)`

subtract
`√(2)` from both sides

x = -
`√(2)` ± 2
`√(2)`

x = -
`√(2)` - 2
`√(2)` = - 3
`√(2)`, or

x = -
`√(2)` + 2
`√(2)` =
`√(2)`