Questions: Solve the quadratic equation by using the square root property. (Enter your answers as a comma-separated list.) x^2=9 x=

Transcript text: Solve the quadratic equation by using the square root property. (Enter your answers as a comma-separated list.) \[ \begin{array}{r} x^{2}=9 \\ x=\square \end{array} \]

Solution

Solution Steps

Step 1: Isolate the squared term

The equation is already in the form \((x - h)^2 = k\), so no manipulation is needed.

Step 2: Apply the square root property

Applying the square root property gives us \(x - h = \pm\sqrt{k}\).

Step 3: Solve for x

Since \(k = 9\), we take the square root of \(k\) to get \(\pm3.0\). Adding \(h = 0\) to both sides gives us two real solutions: \(x = 3\) and \(x = -3\).

Final Answer:

The solutions are \(x = 3\) and \(x = -3\).

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