Answer: [tex]x=\sqrt{\frac{3}{10}}=0.54[/tex]
Step-by-step explanation:
We have the following equation and we have to find [tex]x[/tex]:
[tex]\frac{3}{x^{2}}-8=2[/tex]
Grouping similar terms:
[tex]\frac{3}{x^{2}}=2+8[/tex]
[tex]\frac{3}{x^{2}}=10[/tex]
Isolating [tex]x^{2}[/tex]:
[tex]\frac{3}{10}=x^{2}[/tex]
Applying square root on both sides of the equation:
[tex]\sqrt{x^{2}}=\sqrt{\frac{3}{10}}[/tex]
Finally:
[tex]x=\sqrt{\frac{3}{10}}=0.54[/tex]
