Algebraic

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Determine the roots of the quadratic equation by completing the square. Solve for exact solutions and approximate solutions. Check your solutions.

Y=x2-6x-12

  • Algebraic -

    x^2-6x - 12
    (x^2-6x+9) - 12-9
    (x-3)^2 - 21

    so, setting

    (x-3)^2 - 21 = 0
    (x-3)^2 = 21
    x-3 = ±√21
    x = 3±√21

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