SOLUTION: 1)a natural number,when increased by 12 becomes equal to 160 times its reciprocal.find the number

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Question 392451: 1)a natural number,when increased by 12 becomes equal to 160 times its reciprocal.find the number
Answer by richard1234(5390) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+12+=+160%2Fx

Multiplying through by x,

x%5E2+%2B+12x+=+160

x%5E2+%2B+12x+-+160+=+0

Luckily, this factors as

%28x+-+8%29%28x+%2B+20%29+=+0

x = 8, -20