Respuesta :

Answer:

A

Step-by-step explanation:

9x^2-25=0

x= 5/3 and -5/3

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

What is quadratic equation ?

Any equation that can be written in form as [tex]ax^{2}+bx+c=0[/tex]  , where x is variable and a, b and c are any real numbers and  a ≠ 0 is called quadratic equation .

given quadratic equation :

[tex]9x^2-25=0\\\\[/tex]

Adding 25 both sides

[tex]9x^2-25+25=0+25\\\\\Rightarrow 9x^2=25[/tex]

Dividing by 9 on both sides

[tex]\frac{9x^2}{9}=\frac{25}{9}\\\\x^2= \frac{25}{9}[/tex]

Taking square root both sides

[tex]x= \pm \sqrt(\frac{25}{9})[/tex]

[tex]x= \pm \frac{5}{4}[/tex]

[tex]x= \{\frac{-5}{4}, \frac{5}{4} \}[/tex]

By solving quadratic equation [tex]9x^2-25=0[/tex] we got solution set as [tex]\{\frac{-5}{4}, \frac{5}{4} \}[/tex]

To learn more about quadratic equation visit :https://brainly.com/question/1214333

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