Problem

Solve the equation by the square root property. \[ x^{2}=196 \]

Solution

Step 1 :Solve the equation by the square root property: \(x^{2}=196\).

Step 2 :The square root property states that if \(x^{2}=a\), then \(x=\sqrt{a}\) or \(x=-\sqrt{a}\). In this case, \(a=196\).

Step 3 :So, we need to find the square root of 196.

Step 4 :The square root of 196 is 14, so the solutions to the equation are \(x=14\) and \(x=-14\).

Step 5 :Final Answer: The solutions to the equation \(x^{2}=196\) are \(x=\boxed{14}\) and \(x=\boxed{-14}\).

From Solvely APP
Source: https://solvelyapp.com/problems/16933/

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