Question

the value of 'a' so that the equation (2a-5)x²-4x-15=0 and (3a-8)x²-5x-21=0 have a common root​

Answer 1

Answer:

Taking conjugate z2 +αˉ z+βˉ=0∴  =αβˉ−αˉ βz2=β−βˉz =αˉ−α1

∴  (β−βˉ)2=(αˉ−α)(αβˉ−αˉβ)..

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Step-by-step explanation:

Answer 2

Hint: We will use the direct condition to find the common roots of the given equation. For part (a) we can directly solve the equation by eliminating ‘a’ from both the equations. For part (b) we can use the formula, as we know that the common root of the equations