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- To complete the square for a quadratic equation, follow these steps:
- Write the quadratic equation in the form x^2 + bx + c.
- Determine half of the coefficient of x.
- Take the square of the number obtained in step 2.
- Add and subtract the square obtained in step 3 to the x^2 term1234.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.We complete the square by taking half of the coefficient of our x term, squaring it, and adding it to both sides of the equation. Since the coefficient of our x term is 10, half of it would be 5, and squaring it gives us 25. x 2 + 10 x + 25 = − 24 + 25www.khanacademy.org/math/algebra/x2f8bb11595…This challenge question gives us a shortcut to completing the square, for those that like shortcuts and don't mind memorizing things. It shows us that in order to complete x 2 + b x into a perfect square, where b is any number, we need to add (b 2) 2 to it.www.khanacademy.org/math/algebra/x2f8bb11595…To complete the square, first, you want to get the constant (c) on one side of the equation, and the variable (s) on the other side. To do this, you will subtract 8 from both sides to get 3x^2-6x=15. Next, you want to get rid of the coefficient before x^2 (a) because it won´t always be a perfect square.www.khanacademy.org/math/algebra/x2f8bb11595…Given below is the process of completing the square stepwise:
- Step 1: Write the quadratic equation as x 2 + bx + c. ( Coefficient of x 2 needs to be 1. ...
- Step 2: Determine half of the coefficient of x.
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