Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x the discriminant is greater than zero, so there are two real roots. the discriminant is greater than zero, so there are two complex roots. the discriminant is less than zero, so there are two real roots. the discriminant is less than zero, so there are two complex roots.

Question

Mathematics

Francisco Blanchard

19 September, 18:59

Which of the statements about the following quadratic equation is true? 6x2 - 8 = 4x2 7x the discriminant is greater than zero, so there are two real roots. the discriminant is greater than zero, so there are two complex roots. the discriminant is less than zero, so there are two real roots. the discriminant is less than zero, so there are two complex roots.

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Cynthia Hoffman · Answer 1

6x^2 - 8 = 4x^2 + 7x

6x^2 - 4x^2 - 7x - 8 = 0

2x^2 - 7x - 8 = 0

discriminant = b^2 - 4ac; where a = 2, b = - 7 and c = - 8

d = (-7) ^2 - 4 (2) (-8)

d = 49 + 64

d = 113

the discriminant is greater than zero, so there are two real roots