Question

Solve for all solutions of p.

Answer 1

We are given the equation below:

`\large{ {p}^(2) = (9)/(36) }`

Use the property below:

`\large \boxed{ {x}^(2) = (a)/(b) \longrightarrow x = \pm ( √(a) )/( √(b) ) \: \: (a \geqslant 0 \: \: and \: \: b > 0)}`

From the equation:

`\large{p = \pm ( √(9) )/( √(36) ) } \\ \large{p = \pm (3)/(6) \longrightarrow p = \pm (1)/(2) }`

Hence the answer is p = ± 1/2.

Answer

• p = 1/2, -1/2
• p = ± 1/2

Both answers work. The second answer is in the plus-minus form.

Hope this helps! Let me know if you have any doubts.