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

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Answer:

Option B.

Step-by-step explanation:

The given quadratic equation is

[tex]9x^2=4[/tex]

We need to find the solution of given quadratic equation.

Divide both sides by 9.

[tex]\frac{9x^2}{9}=\frac{4}{9}[/tex]

[tex]x^2=\frac{4}{9}[/tex]

Taking square root on both sides.

[tex]x=\pm\sqrt{\frac{4}{9}}[/tex]

[tex]x=\pm\frac{2}{3}[/tex]

The solution of given equation are [tex]x=\frac{2}{3}[/tex] and [tex]x=-\frac{2}{3}[/tex].

Therefore, the correct option is B.

Answer:

B x = StartFraction 2 Over 3 EndFraction and x = StartFraction negative 2 Over 3 EndFraction

Step-by-step explanation:

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