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Algebra 2(quadratic)

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Use the value of the discriminant to determine the number and type of roots for the equation: (x^2+20=12x-16)

1 real, irrational
2 real, rational
no real
1 real, rational

  • Algebra 2(quadratic) -

    For quadratics, either both roots are real or both are complex. In a special case where the discriminant is zero, there is one root.

    In your case, the equation should be written in the ax^2 + bx + c = 0 form, which would be
    x^2 -12x + 36 = 0.
    discriminant = b^2 - 4ac = 144-144 = 0
    So there is only one root.
    x = -b/2a = 6, which is a rational number

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