Video: Solving Quadratic Equations

Find the solution set of the equation (𝑥 − 17)² = 0 in ℝ.

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Video Transcript

Find the solution set of the equation 𝑥 minus 17 all squared equals zero for all real values.

In order to solve this equation, we’ll use the balancing methods and our knowledge of inverse operations. The opposite or inverse of squaring is square rooting. So our first step is to square root both sides. On the left-hand side, we have 𝑥 minus 17, and on the right-hand side, the square root of zero. As this is equal to zero, we have 𝑥 minus 17 equals zero. Our final step is to add 17 to both sides of this equation. This gives us a single solution, 𝑥 equals 17. As we’re asked to give our answer in set notation, the answer is the set of numbers containing just 17.

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