Question

Use the square roots property to solve the quadratic equation If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer 1

The quadratic equation is given as

`(y+(1)/(3))^2=81`

Using the square roots property, we need to find the square root of both sides.

Therefore, we get

`y+(1)/(3)=\pm\sqrt[]{81}`

Hence, we can solve as

`\begin{gathered} y+(1)/(3)=\pm9 \\ y=\pm9-(1)/(3) \end{gathered}`

The roots can be gotten as

`\begin{gathered} y=9-(1)/(3) \\ y=8(2)/(3) \end{gathered}`

or

`\begin{gathered} y=-9-(1)/(3) \\ y=-9(1)/(3) \end{gathered}`

The answer is

`y=8(2)/(3),-9(1)/(3)`