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

Tyler Price

2 April, 08:51

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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Answers (1)

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Denzel Buckley · 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