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# 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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- TableNinja23Lv 41 decade agoFavorite Answer
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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