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Basile [38]
3 years ago
15

The product of some negative number and 4 less than twice that number is 336. Find the number.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Let the number be 'x'

Since, the product of number and 4 less than twice that number is 336.

x \times [(2 \times x) -4] = 336

x[2x -4] = 336

2x^2 -4x- 336=0

x^2-2x-168=0

Now, we will split the middle term, we get

x^2-14x+12x-168=0

x(x-14)+12(x-14)=0

(x-14)(x+12)=0

So, (x-14)=0 or (x+12)=0

So, x = 14 or x = -12

Therefore, the negative number is '-12'.

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