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When does the quadratic formula give TWO UNIQUE REAL answers?

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User Grimgav
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Answer:

Hi<3

Explanation:

The quadratic formula gives two unique real answers when the discriminant, which is the expression inside the square root in the quadratic formula, is greater than zero.

Using the quadratic formula, the solutions to a quadratic equation ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0, are given by:

x = (-b ± √(b² - 4ac)) / 2a

The discriminant, which is the expression under the square root sign, is b² - 4ac.

If the discriminant is greater than zero (b² - 4ac > 0), then the quadratic equation has two distinct real roots, which means the quadratic formula gives two unique real answers.

If the discriminant is zero (b² - 4ac = 0), then the quadratic equation has one real root, which is sometimes referred to as a double root, because it is a repeated root.

If the discriminant is less than zero (b² - 4ac < 0), then the quadratic equation has no real roots, but it does have two complex roots. In this case, the quadratic formula gives two complex (non-real) numbers.

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User Suckgamony
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