Given that the roots of the equation $a x^{2} + b x + c = 0$ are the consecutive terms of an A.P.What is the common difference of the A.P. in terms of a, b and c?

(b/a)

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Solution

The correct option is C

Let the roots of the equation be p and q
Let the first term of the A.P. be A, common difference be D. p and q be the
$(n - 1)^{t h}$ and $n^{t h}$ term of the progression.
A + (n-1) D - D = p
A + (n-1) D =q

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Given that the roots of the equation ax2+bx+c=0 are the consecutive terms of an A.P.What is the common difference of the A.P. in terms of a, b and c?

The correct option is C Let the roots of the equation be p and q Let the first term of the A.P. be A, common difference be D. p and q be the (n−1)th and nth term of the progression. A + (n-1) D - D = p A + (n-1) D =q

Given that the roots of the equation $a x^{2} + b x + c = 0$ are the consecutive terms of an A.P.What is the common difference of the A.P. in terms of a, b and c?

The correct option is C

Let the roots of the equation be p and q
Let the first term of the A.P. be A, common difference be D. p and q be the
$(n - 1)^{t h}$ and $n^{t h}$ term of the progression.
A + (n-1) D - D = p
A + (n-1) D =q