Answer:
Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
Step-by-step explanation:
Step 1: Add 16 to both sides
[tex]169x^2 - 16 = 0[/tex]
[tex]169x^2 - 16 + 16= 0 + 16[/tex]
[tex]169x^2 = 16[/tex]
Step 2: Divide 169 from both sides
[tex]\frac{169x^2}{169} = \frac{16}{169}[/tex]
[tex]x^2 = 0.09467[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{0.09467}[/tex]
[tex]x =[/tex] ± [tex]0.30769[/tex]
[tex]x =[/tex] ± [tex]4/13[/tex]
Answer: Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
