Question

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

x = StartFraction 4 Over 9 EndFraction and x = StartFraction negative 4 Over 9 EndFraction
x = StartFraction 2 Over 3 EndFraction and x = StartFraction negative 2 Over 3 EndFraction
x = StartFraction 3 Over 2 EndFraction and x = StartFraction negative 3 Over 2 EndFraction
no real solution

Answer 1

Option B.

Explanation:

The given quadratic equation is

`9x^2=4`

We need to find the solution of given quadratic equation.

Divide both sides by 9.

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

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

Taking square root on both sides.

`x=\pm\sqrt{(4)/(9)}`

`x=\pm(2)/(3)`

The solution of given equation are
`x=(2)/(3)` and
`x=-(2)/(3)`.

Therefore, the correct option is B.