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If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m is
- a)m=10
- b)m=11
- c)m=9
- d)m=12
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If the root of the equation x2-8x+m=0 exceeds the other by 4 then the ...
Given equation: x² - 8x + m = 0
Let α and β be the roots of the equation, hence we have:
α + β = 8 ...(1)
α - β = 4 ...(2)
Adding equations (1) and (2), we get:
2α = 12
α = 6
Substituting the value of α in equation (1), we get:
β = 2
Therefore, the roots of the equation are α = 6 and β = 2.
We know that the difference between the roots of the equation is given by:
α - β = 6 - 2 = 4
Therefore, we have:
m = αβ
m = 6 × 2
m = 12
Hence, the value of m is 12, which is option (d).
Let α and β be the roots of the equation, hence we have:
α + β = 8 ...(1)
α - β = 4 ...(2)
Adding equations (1) and (2), we get:
2α = 12
α = 6
Substituting the value of α in equation (1), we get:
β = 2
Therefore, the roots of the equation are α = 6 and β = 2.
We know that the difference between the roots of the equation is given by:
α - β = 6 - 2 = 4
Therefore, we have:
m = αβ
m = 6 × 2
m = 12
Hence, the value of m is 12, which is option (d).
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If the root of the equation x2-8x+m=0 exceeds the other by 4 then the ...
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If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer?
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If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer?.
If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the root of the equation x2-8x+m=0 exceeds the other by 4 then the value of m isa)m=10b)m=11c)m=9d)m=12Correct answer is option 'D'. Can you explain this answer?.
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