? asked in Science & MathematicsMathematics · 1 decade ago

12x² + 2x - 4 = 0 is the equation?

Find the value of the discriminant and describe the nature of the roots of each quadratic equation. Then solve the equation. Express irrational roots as exact and approximate to the nearest hundredth

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  • 1 decade ago
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    d = 2^2 - 4(12)(-4) = 4 + 192 = 196

    There are two real roots, since d > 0.

    12x^2 + 2x - 4 = 0

    (4x - 2)(3x + 2) = 0

    4x - 2 = 0 or 3x + 2 = 0

    x = 0.5 or x = -0.67

  • 1 decade ago

    Discriminant = b2 - 4ac = 196 > 0 so real roots...

    12x2 + 2x - 4 = 12x2 + 8x - 6x - 4

    = (4x - 2)(3x + 2)

    roots are 1/2 and -2/3

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