Respuesta :

we have

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

Divide both sides by [tex]9[/tex]

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

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

Square root both sides

[tex]x=(+/-)\sqrt{\frac{4}{9}}[/tex]

[tex]x=(+/-)\frac{2}{3}[/tex]

so

the solutions are

[tex]x1=\frac{2}{3}[/tex]

[tex]x2=-\frac{2}{3}[/tex]

therefore

the answer is the option

x = 2/3 and x = -2/3

The solutions to the quadratic equation; 9x2 = 4 are; x = 2/3 and x = -2/3.

Quadratic solutions

The given quadratic equation is;

  • 9x² = 4.

Hence, upon evaluation; we have;

  • x² = 4/9

Hence, x = ±2/3

Therefore, x = 2/3 and x = -2/3

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