For applying the quadratic formula to 5x² + 2x − 7 = 0, what are a, b, and c?
Answer and explanation
Correct answer: a = 5, b = 2, c = −7
The governing concept is the standard form of a quadratic equation, ax² + bx + c = 0. To identify the coefficients, compare each term directly with that form. In 5x² + 2x − 7 = 0, the coefficient of x² is a = 5, the coefficient of x is b = 2, and the constant term is c = −7. The negative sign belongs to the constant term and must not be omitted. Therefore option A is correct. Option B swaps the coefficients of x² and x. Option C changes both signs of the linear and constant terms, and option D assigns the constant term as a and the other coefficients incorrectly. Correct identification is essential before substituting into the quadratic formula.
Frequently asked questions
What is the correct answer to this question?
a = 5, b = 2, c = −7
Why is this the correct answer?
The governing concept is the standard form of a quadratic equation, ax² + bx + c = 0. To identify the coefficients, compare each term directly with that form. In 5x² + 2x − 7 = 0, the coefficient of x² is a = 5, the coefficient of x is b = 2, and the constant term is c = −7. The negative sign belongs to the constant term and must not be omitted. Therefore option A is correct. Option B swaps the coefficients of x² and x. Option C changes both signs of the linear and constant terms, and option D assigns the constant term as a and the other coefficients incorrectly. Correct identification is essential before substituting into the quadratic formula.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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