Finding the roots of quadratic equations

Descrição

10MAT1 Mapa Mental sobre Finding the roots of quadratic equations, criado por fiona.pain em 04-09-2013.
fiona.pain
Mapa Mental por fiona.pain, atualizado more than 1 year ago
fiona.pain
Criado por fiona.pain aproximadamente 13 anos atrás
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Resumo de 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