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CBSE Class 10 Answered

Question 68 If the difference of the roots of the quadratic equation x2 – ax + b is 1, then a2 – 4b = 0 a2 – 4b = -1 a2 – 4b = 1 a2 – 4b = 4
Asked by miniprasad | 13 Oct, 2018, 03:13: PM
answered-by-expert Expert Answer
Let α and β are the roots of the given quadratic equation.
x2 – ax + b 
Comparing with Ax2 + BX + C 
A = 1, B = -a and C = b
Sum of the roots = α + β = -B/A = a
Product of the roots = αβ = C/A = b
According to the question,
α - β = 1
(α - β)2 = (α + β)2 - 4αβ
1 = a2 - 4b
Answered by Sneha shidid | 15 Oct, 2018, 11:51: AM

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