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Sum of roots is -1 and sum of their reciprocal is 1/6, then equation is
- a)x2−6x+1=0
- b)x2−x+6=0
- c)6x2+x+1=0
- d)x2+x−6=0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa...
Let the roots be α and β. Then,α+β=−1
(given) and 
⇒ αβ =−6 So, the required equation is
x2+x−6=0
Most Upvoted Answer
Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa...
Let the roots of the equation be a and b.
We know that:
a + b = -1
1/a + 1/b = 1/6
We can rewrite the second equation as:
(a + b)/ab = 1/6
Substituting -1 for a + b, we get:
-1/ab = 1/6
Multiplying both sides by -6ab, we get:
6 = -ab
Now we can rewrite the original equation as:
x^2 + (a + b)x + ab = 0
Substituting -1 for a + b and -6 for ab, we get:
x^2 - x - 6 = 0
Therefore, the equation is x^2 - x - 6 = 0.
We know that:
a + b = -1
1/a + 1/b = 1/6
We can rewrite the second equation as:
(a + b)/ab = 1/6
Substituting -1 for a + b, we get:
-1/ab = 1/6
Multiplying both sides by -6ab, we get:
6 = -ab
Now we can rewrite the original equation as:
x^2 + (a + b)x + ab = 0
Substituting -1 for a + b and -6 for ab, we get:
x^2 - x - 6 = 0
Therefore, the equation is x^2 - x - 6 = 0.
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Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer?
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Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer?.
Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer?.
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Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Sum of roots is -1 and sum of their reciprocal is1/6,then equation isa)x2−6x+1=0b)x2−x+6=0c)6x2+x+1=0d)x2+x−6=0Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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