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Determine the discriminant of the quadratic equation: 8m² – 3m + 6 = 0.

Determine the discriminant of the quadratic equation: 8m² – 3m + 6 = 0.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
**Task: Determine the Discriminant of a Quadratic Equation** **Quadratic Equation:** \[ 8m^2 - 3m + 6 = 0 \] To find the discriminant of a quadratic equation in the standard form \( ax^2 + bx + c = 0 \), use the formula: \[ \text{Discriminant} = b^2 - 4ac \] For the given equation, identify the coefficients: - \( a = 8 \) - \( b = -3 \) - \( c = 6 \) Calculate the discriminant using the above coefficients: \[ \text{Discriminant} = (-3)^2 - 4(8)(6) \]
Transcribed Image Text:**Task: Determine the Discriminant of a Quadratic Equation** **Quadratic Equation:** \[ 8m^2 - 3m + 6 = 0 \] To find the discriminant of a quadratic equation in the standard form \( ax^2 + bx + c = 0 \), use the formula: \[ \text{Discriminant} = b^2 - 4ac \] For the given equation, identify the coefficients: - \( a = 8 \) - \( b = -3 \) - \( c = 6 \) Calculate the discriminant using the above coefficients: \[ \text{Discriminant} = (-3)^2 - 4(8)(6) \]
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