Question

24 multiple choice 1 point solve for x. 144x² + 5 = 4 options: ±1/12, ±12i, ±3/12, ±1/12 i

Explanation:

Step1: Isolate the \(x^2\) term

Subtract 5 from both sides of the equation \(144x^2 + 5 = 4\).

$$144x^2=4 - 5$$

$$144x^2=-1$$

Step2: Solve for \(x^2\)

Divide both sides by 144.

$$x^2=\frac{-1}{144}$$

Step3: Take square root of both sides

Recall that \(\sqrt{-1}=i\), so take square roots:

$$x = \pm\sqrt{\frac{-1}{144}}=\pm\frac{\sqrt{-1}}{12}=\pm\frac{1}{12}i$$

Answer:

\(\pm\frac{1}{12}i\) (the last option: \(\pm\frac{1}{12}i\))