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

Heather Burns

Mathematics

19 February, 17:38

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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Emerson Anderson · 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