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mike mcgarry
lesson by mike mcgarry
magoosh expert

summary
the quadratic formula is a crucial tool for solving quadratic equations that cannot be factored or easily solved by completing the square, especially on the sat exam.
  • the quadratic formula is used when a quadratic equation cannot be factored or does not fit neatly into algebraic patterns.
  • the formula is provided during the sat exam, so memorization is not necessary.
  • the discriminant (b^2 - 4ac) within the quadratic formula determines the nature of the roots (real, one real, or imaginary).
  • putting the quadratic equation in standard form (ax^2 + bx + c = 0) is essential before applying the quadratic formula.
  • completing the square is an alternative method that can be quicker and more efficient in some cases.
chapters
00:00
introduction to the quadratic formula
00:53
applying the quadratic formula
01:59
understanding the discriminant
03:38
solving quadratics with the formula