Answer:
Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
Step-by-step explanation:
Step 1: Subtract 153 from both sides
[tex]-9f^2 + 153 = 0[/tex]
[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]
[tex]-9f^2 = -153[/tex]
Step 2: Divide both sides by -9
[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]
[tex]f^2 = 17[/tex]
Step 3: Square root both sides
[tex]\sqrt{f^2} = \sqrt{17}[/tex]
[tex]f =[/tex] ± [tex]4.12[/tex]
Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]
