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Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0?
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Which of the following is not a quadratic equation* (a) x² 3x – 5 = ...
Answer:
To determine which of the given equations is not a quadratic equation, we need to understand what a quadratic equation is.
Quadratic Equation:
A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It can be written in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
Now, let's analyze each option to determine if it is a quadratic equation:
(a) x² + 3x - 5 = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 3, and c = -5.
(b) x² + x³ + 2 = 0:
This equation is not a quadratic equation because it contains a term with a degree higher than 2. The term x³ makes it a cubic equation, not a quadratic equation.
(c) 3 + x + x² = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 1, and c = 3.
(d) x² - 9 = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 0, and c = -9.
Conclusion:
Among the given options, option (b) x² + x³ + 2 = 0 is not a quadratic equation because it contains a term with a degree higher than 2. The other options (a), (c), and (d) are all quadratic equations.
To determine which of the given equations is not a quadratic equation, we need to understand what a quadratic equation is.
Quadratic Equation:
A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It can be written in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
Now, let's analyze each option to determine if it is a quadratic equation:
(a) x² + 3x - 5 = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 3, and c = -5.
(b) x² + x³ + 2 = 0:
This equation is not a quadratic equation because it contains a term with a degree higher than 2. The term x³ makes it a cubic equation, not a quadratic equation.
(c) 3 + x + x² = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 1, and c = 3.
(d) x² - 9 = 0:
This equation is a quadratic equation because it is in the form ax² + bx + c = 0, where a = 1, b = 0, and c = -9.
Conclusion:
Among the given options, option (b) x² + x³ + 2 = 0 is not a quadratic equation because it contains a term with a degree higher than 2. The other options (a), (c), and (d) are all quadratic equations.
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Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0?
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Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0?.
Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not a quadratic equation* (a) x² 3x – 5 = 0 (b) x² x3 2 = 0 (c) 3 x x² = 0 (d) x² – 9 = 0?.
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