Question

4x2-9=0 extracting square roots

Answer 1

x = ±
`(3)/(2)`

Explanation:

given the equation

4x² - 9 = 0 ( add 9 to both sides )

4x² = 9 ( divide both sides by 4 )

x² =
`(9)/(4)` ( take square root of both sides )

`√(x^2)` = ±
`\sqrt{(9)/(4) }` = ±
`(√(9) )/(√(4) )` = ±
`(3)/(2)`

x = ±
`(3)/(2)`