Using quadratic formula to solve quadratic equations

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  1. Solve the equation using the quadratic formula:
    2x2−12x+10=02{x^2} - 12x + 10 = 0
  1. Solving a quadratic equation with TWO REAL SOLUTIONS
    Solve using the quadratic formula: x2+10x+6=0x^2+10x+6=0
    1. Solving a quadratic equation with ONE (REPEATED) REAL SOLUTION
      Solve using the quadratic formula: 9x2+25=30x9x^2+25=30x
      1. Solving a quadratic equation with TWO COMPLEX SOLUTIONS
        Solve using the quadratic formula: −3x2−24x=49-3x^2-24x=49
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        Topic Notes
        Not sure if you should solve the quadratic equation by factoring or completing the square? No worries. You can always use the quadratic formula. The beauty of the quadratic formula is that it can always give you the answer no matter if the quadratic equations can be factored or not.
        Quadratic Formula
        For the quadratic equation: ax2+bx+c=0a{x^2} + bx + c = 0
        the solutions are: x=−b  ±  b2−4ac2ax = \frac{{ - b\; \pm \;\sqrt {{b^2} - 4ac} }}{{2a}}