Question

Which statement about the following equation is true? 3x2 – 8x + 5 = 5x2

Answer 1

after simplyfication we get

2x2 + 8x - 5 = 0

this equation is a quadratic equation

Answer 2

The full question is as follow:

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.

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3x² – 8x + 5 = 5x²

5x² - 3x² + 8x - 5 = 0

2x² + 8x - 5 = 0

Find the discriminant:

b² - 4ac = (8)² - 4(2)(-5)

b² - 4ac = 64 + 40

b² - 4ac = 104

Since b² - 4ac > 0

⇒ The quadratic has two real roots

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