The discriminant of a quadratic equation and interpreting its meaning.

Froggy Jumps

Practice finding the discriminant of a quadratic equation and interpreting its meaning.

Instructions:

Identify the coefficients: Determine the values of a, b, and c in the given quadratic equation (ax² + bx + c = 0).

Calculate the discriminant: Use the formula: D = b² - 4ac

Interpret the discriminant:

D < 0: No real solutions.

D = 0: One real solution (a double root).

D > 0: Two real solutions.

Hints:

Remember to follow the order of operations (PEMDAS) when calculating the discriminant.

The discriminant tells you about the nature of the solutions, not the actual solutions themselves.

Practice with different quadratic equations to get comfortable with calculating and interpreting the discriminant.

If the constant term (c) is not explicitly given, it is zero.

If the middle term (bx) is missing, it is zero.

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À propos de Froggy Jumps

mathematics

quadratics

discriminant solutions quadratics

Âge recommandé: 9 ans

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Algebra Help Desk

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Froggy Jumps The discriminant of a quadratic equation and interpreting its meaning.Version en ligne Practice finding the discriminant of a quadratic equation and interpreting its meaning. Instructions: Identify the coefficients: Determine the values of a, b, and c in the given quadratic equation (ax² + bx + c = 0). Calculate the discriminant: Use the formula: D = b² - 4ac Interpret the discriminant: D < 0: No real solutions. D = 0: One real solution (a double root). D > 0: Two real solutions. Hints: Remember to follow the order of operations (PEMDAS) when calculating the discriminant. The discriminant tells you about the nature of the solutions, not the actual solutions themselves. Practice with different quadratic equations to get comfortable with calculating and interpreting the discriminant. If the constant term (c) is not explicitly given, it is zero. If the middle term (bx) is missing, it is zero. par Algebra Help Desk 1 Calculate the discriminant: Use the formula: D = b² - 4ac a -39 b 39 c 4 2 Interpret the discriminant (none, one, or two solutions) a none b one c two 3 Calculate the discriminant: Use the formula: D = b² - 4ac a 28 b 16 c 8 4 Interpret the discriminant (none, one, or two solutions) a zero b one c two 5 Calculate the discriminant: Use the formula: D = b² - 4ac a 12 b 20 c -20 6 Interpret the discriminant (none, one, or two solutions) a Zero b One c Two 7 Calculate the discriminant: Use the formula: D = b² - 4ac a 4 b 2 c 0 8 Interpret the discriminant (none, one, or two solutions) a zero b one c two 9 Calculate the discriminant: Use the formula: D = b² - 4ac a DNE b 2 c 0 10 Interpret the discriminant (none, one, or two solutions) a zero b one c two 11 Calculate the discriminant: Use the formula: D = b² - 4ac a 0 b 2 c -2 12 Interpret the discriminant (none, one, or two solutions) a zero b one c two 13 Calculate the discriminant: Use the formula: D = b² - 4ac a -4 b 0 c 4 14 Interpret the discriminant (none, one, or two solutions) a zero b one c two 15 Calculate the discriminant: Use the formula: D = b² - 4ac a 0 b 8 c -8 16 Interpret the discriminant (none, one, or two solutions) a zero b one c two 17 Calculate the discriminant: Use the formula: D = b² - 4ac a -64 b 64 c 8 18 Interpret the discriminant (none, one, or two solutions) a zero b one c two 19 Calculate the discriminant: Use the formula: D = b² - 4ac a 0 b 3 c 9 20 Interpret the discriminant (none, one, or two solutions) a zero b one c two 21 Calculate the discriminant: Use the formula: D = b² - 4ac a 16 b -4 c 4 22 Interpret the discriminant (none, one, or two solutions) a zero b one c two 23 Calculate the discriminant: Use the formula: D = b² - 4ac 2 a 4 b -16 c 16 24 Interpret the discriminant (none, one, or two solutions) a zero b one c two 25 Calculate the discriminant: Use the formula: D = b² - 4ac a 9 b -9 c 3 26 Interpret the discriminant (none, one, or two solutions) a zero b one c two 27 Calculate the discriminant: Use the formula: D = b² - 4ac a 0 b 4 c 8 28 Interpret the discriminant (none, one, or two solutions) a zero b one c two 29 Calculate the discriminant: Use the formula: D = b² - 4ac a -1 b 0 c 1 30 Interpret the discriminant (none, one, or two solutions) a zero b one c two 31 Calculate the discriminant: Use the formula: D = b² - 4ac a -2 b 0 c 2 32 Interpret the discriminant (none, one, or two solutions) a zero b one c two

Froggy Jumps

The discriminant of a quadratic equation and interpreting its meaning.Version en ligne

Practice finding the discriminant of a quadratic equation and interpreting its meaning. Instructions: Identify the coefficients: Determine the values of a, b, and c in the given quadratic equation (ax² + bx + c = 0). Calculate the discriminant: Use the formula: D = b² - 4ac Interpret the discriminant: D < 0: No real solutions. D = 0: One real solution (a double root). D > 0: Two real solutions. Hints: Remember to follow the order of operations (PEMDAS) when calculating the discriminant. The discriminant tells you about the nature of the solutions, not the actual solutions themselves. Practice with different quadratic equations to get comfortable with calculating and interpreting the discriminant. If the constant term (c) is not explicitly given, it is zero. If the middle term (bx) is missing, it is zero.