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What type of roots would a parabola have if the discriminant is 36?

A) 2 Unique Real
B) 1 Real
C) 2 Unique Complex

1 Answer

2 votes

Therefore, the parabola would have 2 unique real roots.

How to determine this

The discriminant of a quadratic equation is a term that appears in the quadratic formula and determines the nature of the roots. It is defined as:

Δ = b^2 - 4ac

where the coefficients of the quadratic equation are a, b, and c.

The quadratic equation has two unique real roots if the discriminant is positive. The quadratic equation has one repeating real root if the discriminant is zero. There are two complex conjugate roots to the quadratic equation if the discriminant is negative.

The discriminant in this instance is 36, which is a positive integer. The parabola would therefore have two distinct real roots.

The correct answer is A) 2 Unique Real.

User Mike Mueller
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