Problem

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." \[ x= \]

Solution

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 \(x=\boxed{-4.123105625617661}\).

From Solvely APP
Source: https://solvelyapp.com/problems/42769/

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