Question

Help please very easy to smart ppl thank u so much x

Answer 1

x =
`√(7)` is a solution

Explanation:

(x² - 7)² + 2x² - 14 = 0 ← factor out 2 from last 2 terms

(x² - 7)² + 2(x² - 7) = 0 ← factor out (x² - 7) from each term

(x² - 7)(x² - 7 + 2) = 0

(x² - 7)(x² - 5) = 0

equate each factor to zero and solve for x

x² - 7 = 0 ( add 7 to both sides )

x² = 7 ( take square root of both sides )

x = ±
`√(7)`

x² - 5 = 0 ( add 5 to both sides )

x² = 5 ( take square root of both sides )

x = ±
`√(5)`

solutions are x = -
`√(7)` ,
`√(7)` , -
`√(5)` ,
`√(5)`