Question

Solve the equation −9f 2 + 153 = 0. Round to the nearest hundredth.

f = ±3.87
f = ±1.96
f = ±5
f = ±4.12

Answer 1

Option D,
`f =` ±
`4.12`

Explanation:

Step 1: Subtract 153 from both sides

`-9f^2 + 153 = 0`

`-9f^2 + 153 - 153 = 0 - 153`

`-9f^2 = -153`

Step 2: Divide both sides by -9

`(-9f^2)/(-9) = (-153)/(-9)`

`f^2 = 17`

Step 3: Square root both sides

`√(f^2) = √(17)`

`f =` ±
`4.12`

Answer: Option D,
`f =` ±
`4.12`