Question

2x² + 3 = 39 extracring square roots

Answer 1

x = ± 3
`√(2)`

Explanation:

2x² + 3 = 39 ( subtract 3 from both sides )

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = ±
`√(18)` = ±
`√(9(2))` = ± (
`√(9)` ×
`√(2)` ) = ± 3
`√(2)`

Answer 2

x=9

Explanation:

first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18