Video 7 -Quadratic Equations, Intercepts, Distance Midpoint
  • Miscellaneous Quadratic Equations Solved by Factoring.
    This segment covers a variety of equations, involving various previously studied algebraic expressions, which are reducible to quadratic equations which can then be solved by factoring. This segment also covers the method of solving equations by substituting new symbols for expressions which appear repeatedly in the same equation.
  • Solving Quadratic Equations by Completing the Square.
    This segment covers the solution of quadratic equations in which the unknowns can be collected into a single term which is the square of a binomial and then are solvable directly by roots. The technique of completing the square is covered to show that the preceding form can always be obtained.
  • Solving Quadratic Equations by the Quadratic Formula.
    This segment covers the quadratic formula and its use in solving quadratic equations. This segment also covers the rearrangement of any quadratic into standard form to facilitate identification of appropriate coefficients as to their proper place in the quadratic formula for computation of solutions.
  • Applications that Lead to Quadratic Equations.
    This segment covers various applications which lead to equations which after rearrangement and simplification become reduced to quadratic equations. This segment also covers the Pythagorean Theorem and applications to perimeter and area problems.
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