Question

What are the solution(s) to the quadratic equation 9x² = 4?

0 x =
and x =
0 x =
I
69
4
and x = -
2
0 x = ² and x = -²
2
Ono real solution

Answer 1

x = ±
`(2)/(3)`

Explanation:

9x² = 4 ( divide both sides by 9 )

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

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

x = -
`(2)/(3)` , x =
`(2)/(3)`

Answer 2

x= 2/3, -2/3

Explanation:

9x² = 4

To solve this quadratic, divide each side by 9

x^2 = 4/9

Take the square root of each side

sqrt(x^2) = sqrt(4/9)

x = ±2/3