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Question

Solve the following quadratic equations by factorization method:
x+1x=265

A
{5,15}
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B
{5,15}
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C
{5,15}
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D
None of these
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Solution

The correct option is A {5,15}
x+1x=265
5x2+5=26x [ Multiplying both sides by 5x ]
5x226x+5=0
5x225xx+5=0
5x(x5)1(x5)=0
(x5)(5x1)=0
x5=0 and 5x1=0
x=5 and x=15

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