Finding the roots of quadratic equations

Descripción

10MAT1 Mapa Mental sobre Finding the roots of quadratic equations, creado por fiona.pain el 04/09/2013.
fiona.pain
Mapa Mental por fiona.pain, actualizado hace más de 1 año
fiona.pain
Creado por fiona.pain hace alrededor de 13 años
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Resumen del Recurso

Finding the roots of quadratic equations
  1. x(x-4) = 0
    1. x=0
      1. x-4=0 which means x=4
        1. OR
        2. 3x^2 - 7 = 0
          1. Manipulate the equation so x^2 = 7/3
            1. therefore x= +/- sq root 7/3
            2. x^2-10x+21=0
              1. cross method if possible
                1. (x-7)(x-3)=0
                  1. x-7=0 ...x=7
                    1. OR
                      1. x-3=0 ...x=3
                      2. When all else fails, use the quadratic equation
                        1. Remember the coefficients are substituted NOT the terms
                          1. Don't be lazy ... Formula line, Substitution line, then start to work it out
                          2. Completing the square
                            1. halve the x term & square it
                              1. add it to both sides of the eqation
                                1. then it becomes something like the method in the centre top
                                  1. manipulate the equation so coeffient of x^2 is +1
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