Question

Solve the following equation for w.
V5
W
√w+8

Answer 1

Explanation:

Domain:

5 -
`(w)/(4)` ≥ 0 ⇒
`w` ≤ 20 ....... (1)

`w` + 8 ≥ 0 ⇒
`w` ≥ - 8 ...... (2)

(1) ∩ (2) ⇒ - 8 ≤
`w` ≤ 20

`\sqrt{5-(w)/(4) }` =
`√(w+8)`

(
`\sqrt{5-(w)/(4) }` )² = (
`√(w+8)` )²

5 -
`(w)/(4)` =
`w` + 8

20 -
`w` = 4
`w` + 32

5
`w` = - 12

`w` = - 2.4