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A real number is said to be a root of ax2+bx+c = 0
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answ...
The correct answer is:
d) aα² + bα + c = 0
Explanation:
A real number α is a root of the quadratic equation ax² + bx + c = 0 if plugging α into the equation makes it true.
In other words, when you substitute x = α into the equation, you should get:
aα² + bα + c = 0
aα² + bα + c = 0
Why not the other options?
- a) a(-α)² + b(-α) + c = 0 → This would mean -α is a root, not necessarily α.
- b) aα² + bα - c = 0 → The sign of c is wrong. It must be +c, not -c.
- c) a(α)² + b(-α) + c = 0 → This is mixing signs and treats -α as part of the linear term, which changes the meaning.
So, the only correct condition for α being a root is option d.
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A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer? 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 A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer? 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 A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A real number is said to be a root of ax2+bx+c = 0a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
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