What are all the solutions of the equation p2=(9)/(36)

Question

What are all the solutions of the equation p2=
`(9)/(36)`

Answer 1

`p=\±(1)/(2)`

Explanation:

`\sf p^2=(9)/(36)`

First, divide both sides by 9 to write the fractions in their simplest form.

`\sf p^2=(1)/(4)`

To find the value of p, put the square root on both sides.

`\sf p=\±\sqrt{(1)/(4)}\\\\p=\±(1)/(2)`

Answer 2

• p = ± 1/2

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Solve the equation for p by taking the square root:

• 
  `p^2=\cfrac{9}{36}`

• 
  `p=\sqrt{\cfrac{9}{36} } =\sqrt{\cfrac{1}{4} } =\pm\cfrac{1}{2}`