A1.9.a
Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions. Explain how the quadratic formula is derived from this form.
Example Problems
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Khan Academy ResourcesCompleting the square reviewCompleting the square (intermediate)Completing the squareSolve equations by completing the squareCompleting the square (intro)Worked example: completing the square (leading coefficient ≠ 1)Completing the squareSolving quadratics by completing the square: no solutionSolve by completing the square: Non-integer solutionsSolve by completing the square: Integer solutionsWorked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square
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