AAII.MAA.1.b
Determining the number of solutions to a function using graphical and algebraic forms (including the discriminant and complex numbers as appropriate);
Example Problems
Solve:
Solve:
Solve using the completing the square method:
Khan Academy ResourcesUnderstanding the quadratic formulaSolving quadratics by completing the squareSolving quadratics by factoring reviewCompleting the square reviewSolving quadratics by factoringQuadratic formulaQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareQuadratics by factoringSolve equations by completing the squareSolve equations using structureCompleting the square (intro)Quadratic word problem: ballWorked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Completing the squareSolving quadratics by factoringSolving quadratics by completing the square: no solutionWorked example: quadratic formula (example 2)Solve by completing the square: Non-integer solutionsSolve by completing the square: Integer solutionsStrategy in solving quadratic equationsSolving quadratics by factoring: leading coefficient ≠ 1Worked example: Rewriting & solving equations by completing the squareWorked example: Rewriting expressions by completing the square

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