Solving a quadratic equation using the square root property
Solve $x^{2}=17$, where $x$ is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas. If there is no solution, click "No solution."
\[
x=
\]
Answer
Final Answer: The solutions to the equation \(x^{2}=17\) are \(x=\boxed{4.123105625617661}\) and \(x=\boxed{-4.123105625617661}\).
Step 1 ：Given the quadratic equation \(x^{2}=17\).
Step 2 ：The square root property states that if \(x^{2}=a\), then \(x=\sqrt{a}\) or \(x=-\sqrt{a}\). In this case, \(a=17\).
Step 3 ：So, we can use this property to solve the equation.
Step 4 ：The solutions to the equation are \(x=\sqrt{17}\) and \(x=-\sqrt{17}\).
Step 5 ：Solving for \(x\) gives us two solutions: \(x1 = 4.123105625617661\) and \(x2 = -4.123105625617661\).
Step 6 ：Final Answer: The solutions to the equation \(x^{2}=17\) are \(x=\boxed{4.123105625617661}\) and \(x=\boxed{-4.123105625617661}\).
