Determine and justify if a quadratic equation in one variable has no real solutions, one real solution, or two real solutions.
Example Problems
Solve:
Solve:
How many x-intercepts does the graph of f have?
Khan Academy ResourcesUnderstanding the quadratic formulaSolving quadratics by completing the squareCompleting the square reviewSolving simple quadratics reviewDiscriminant reviewQuadratic formula reviewQuadratic formulaQuadratics by taking square rootsSolve equations by completing the squareQuadratics by taking square roots (intro)Worked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Solving quadratics by taking square rootsCompleting the squareThe quadratic formulaSolving quadratics by completing the square: no solutionWorked example: quadratic formula (example 2)Using the quadratic formula: number of solutionsSolve by completing the square: Non-integer solutionsSolve by completing the square: Integer solutionsSolving quadratics by taking square roots examplesSolving quadratics by taking square roots: with stepsWorked example: Rewriting & solving equations by completing the square
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