Question

Use the Square Root Property to solve the quadratic equation w2+3=130. If there are multiple answers, list them separated by a comma (e.g. 1,2). If there is no real solution, enter ∅.

Answer 1

The given quadratic equation is expressed as

w^2 + 3 = 130

Subtracting 3 from both sides of the equation, we have

w^2 + 3 - 3 = 130 - 3

w^2 = 127

Taking square root of both sides, we have

`\begin{gathered} w\text{ = }\pm\sqrt[]{127} \\ w\text{ = }\sqrt[]{127},\text{ - }\sqrt[]{127} \end{gathered}`