Solving an equation by completing the square

👉 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 in the right hand side of the equation.

This is done 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). 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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[horaciomassava]

I think there is a mistake on on of the souluctions, the soluctions should be 4 and 9. not -4.

[marwashahmohammadpirzada]

Hello! I wanted to ask how we got 169 because if we are dividing it should be 6.5 but I’m not sure how you got 169

[pritamdhinsa]

36= 9x4 and 9 +4 = 13. So factors are ( x - 9)(x - 4)= 0. Hence x= 9 as well as 4. PSD.

[hannahholt]

can you show me how to solve x^2+8x=0 and y^3+10y^2+24y=0