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