If The Roots of The Equation x² – nx + m = 0 Differ by 1 :

If the roots of the equation x² – nx + m = 0 differ by 1, then

  1. n24m – 1=0
  2. n2 + 4m – 1=0
  3. m2 + 4n +1=0
  4. m2 – 4n-1=0
Anurag Mishra Professor Asked on 3rd October 2015 in Maths.
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1 Answer(s)

Answer: (1) n2 – 4 m – 1 = 0

Explanation:-

α + β = n and αβ = m
Then, (α – β)² = 1
And (α + β)² – 4 αβ = 1
Put the value of α + β = n and αβ = m
Then, n² – 4 m = 1
n² – 4 m – 1 = 0
If the roots of the equation x² – nx + m = 0 Differ by 1 then, n² – 4 m – 1 = 0

Hence, the answer is (1) n² – 4 m – 1 = 0

Anurag Mishra Professor Answered on 3rd October 2015.
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