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March 24, 2017

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Consider the equation x^2 + 20 = 12x

A) draw geometric diagram representing this equation.
B) Show how to complete the square geometrically.
C) Solve the equation.

  • Math - ,

    We can't draw graphs for you here. That is something you shood be able to do on your own, anyway.

    Rewrite the equation as x^2 -12x +20 = 0
    A perfect square that includes the first two terms would be
    (x-6)^2 = x^2 -12+ 36
    Therefore you can rewrite the original equation as
    (x-6)^2 -36+20 = 0
    (x-6)^2 = 16
    x-6 = +/-4
    x = 2 or 10

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