CBSE BOARD X, asked by nehasajy, 10 months ago

A natural number when increased by 12 equals 160 times its reciprocal . Find the number .

Answers

Answered by ziddijaatni21
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 Anonymous
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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