Which statement about the following equation is true?

3x2 - 8x + 5 = 5x2

A) The discriminant is less than 0, so there are two real roots.

B) The discriminant is greater than 0, so there are two real roots.

C) The discriminant is less than 0, so there are two complex roots.

D) The discriminant is greater than 0, so there are two complex roots.

Question

Eli Abbott

Mathematics

14 May, 09:27

Which statement about the following equation is true?

3x2 - 8x + 5 = 5x2

A) The discriminant is less than 0, so there are two real roots.

B) The discriminant is greater than 0, so there are two real roots.

C) The discriminant is less than 0, so there are two complex roots.

D) The discriminant is greater than 0, so there are two complex roots.

+3

Answers (1)

Know the Answer?

Nadia Freeman · Answer 1

The discriminant (d) of the equation expressed as ax² + bx + c = 0 may be calculated by,

d = b² - 4ac

Simplifying the equation, - 2x² - 8x + 5 = 0. Substituting the known values,

d = (-8) ² - 4 (-2) (5) = 104

The answer is letter B. The discriminant is greater than 0, so there are two real roots.