Answer:
[tex]x=-\frac{6}{5}\text{ or }x=\frac{6}{5}[/tex].
Step-by-step explanation:
We have been given an equation [tex]25x^2-36=0[/tex]. We are asked to solve our given equation.
First of all, we will add 36 on both sides of our equation.
[tex]25x^2-36+36=0+36[/tex]
[tex]25x^2=36[/tex]
Now, we will divide both sides of our equation by 25.
[tex]\frac{25x^2}{25}=\frac{36}{25}[/tex]
[tex]x^2=\frac{36}{25}[/tex]
Upon taking square root of both sides we will get,
[tex]x=\sqrt{\frac{36}{25}}[/tex]
[tex]x=\sqrt{\frac{6^2}{5^2}}[/tex]
[tex]x=\pm\frac{6}{5}[/tex]
Therefore, the solution of our given equation are [tex]x=-\frac{6}{5}\text{ or }x=\frac{6}{5}[/tex].
