If the roots of the equation (a - b)X + (b-c)x+ (c-a)=0 are equal,show thatc,a and b are in AP....
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(a- b ) × (b-c) ×( c-a?)
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If the roots of the equation (a - b)X + (b-c)x+ (c-a)=0 are equal,show thatc,a and b are in AP....
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1
Answer:
well, c,a,b are in A.P if 2a = b + c. Also,if roots of a quadratic polynomial is equal, then its discriminant must be zero.
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