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Question

If one root of the quadratic equation x210x+2k=0 is 53, find k.

A
11
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B
12
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C
13
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D
15
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Solution

The correct option is A 11
One of the root of the equation is 53, then the other is 5+3
Product of the roots = (5+3)(53)=2k
253=2k
22=2k
k=11

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