Finding the zeros by completing the square when you have a fraction

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👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with the quadratic term and the linear term. If the coefficient of the quadratic term is not 1, we factor out the coefficient before creating the perfect square trinomial.

The perfect square trinomial is created by adding to both side of the equation, the square of half the coefficient of the linear term (the term whose variable is not squared). Note that you must account for the factored out value when adding the square of half the linear term to the other side of the equation. Then the perfect square trinomial is evaluated and then we solve for the variable to get the solution(s) to the quadratic equation.

Organized Videos:
✅How to Solve a Quadratic by Completing the Square
✅Solve a Quadratic by Completing the Square | Fractions
✅Solve a Quadratic by Completing the Square | -x^2+bx+c
✅Solve a Quadratic by Completing the Square | 2x^2+bx+c
✅Solve a Quadratic by Completing the Square | ax^2+bx+c
✅Solve a Quadratic by Completing the Square | x^2+bx+c
✅Solve a Quadratic by Completing the Square | Learn About

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I just want you to know you're a super hero. Thank you.

djklsjfjflkdsjfsd
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Notice how I only factored out the 2 from the first two terms. Factoring out a two out of a 3 would really complicate the problem. If we follow the rules for completing the square it is important for us to have a binomial with our x^2 with a coefficient as one, hence why i factored out the two. Please let me know if this description makes sense.

brianmclogan
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I try to shoot all of my videos in 1080p but sometimes it gets changed to 760

brianmclogan
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at the very end, how did the square root of 3/4 change to 3/2?

denisew
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Why wouldn't you just divide 2x to all sides from the start?

JACKOTACO
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your moving to fast and don’t explain it very well

Raetheg