Question

Divide 39 into two parts such that their product is 324.

Answer 1

Let one part be x
other part = 39-x
their product =324
39-x × x=324
$39x - {x}^{2} = 324$
${x}^{2} - 39x + 324 = 0$
${x}^{2} - 27x - 12x + 324 = 0$
$( {x}^{2} - 27x) - (12x - 324) = 0$
x (x-27)-12 (x-27)=0
Therefore,
x=12 or 27
so the no are 12 and 27


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