A natural number when increased by 12 equals 160 times its reciprocal . Find the number .
Answers
Answered by
4
Answer:
8
Explanation:
Let x be the natural no.
When increased by 12 equals 12 + x
Its reciprocal 1 / 12 + x
x = 160 / 12 + x
x^2 + 12 x =160
x^2 + 12 x -160 = 0
[ x +20 ] [ x -8] =0
x = -20 or 8
No. = 8
Answered by
2
Answer:
The no. is 8
Explanation:
Let x be the natural no.
When increased by 12 = 12 + x
Reciprocal 1/12+x
x = 160/12+x
x^2 + 12x = 160
x^2 + 12x - 160 = 0
x^2 + 20x - 8x - 160 = 0
x(x+20) - 8(x+20) = 0
( x + 20 ) ( x - 8 ) = 0
x = - 20 , 8
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