Q.

The least positive value of ‘a’ for which the equation  2x2+a−10x+332=2a  has real roots is ____________

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answer is 8.

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Detailed Solution

D≥0(a-10)2-4(2)332-2a≥0(a-10)2-4(33-4a)≥0a2-4a-32≥0⇒a∈(-∞,-4]∪[8,∞)
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