The square of a negative number is twelve more than four times the negative number. Find the number.

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13-07-2015
Mathematics

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The square of a negative number is twelve more than four times the negative number. Find the number.

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naǫ naǫ · Answer 1 · 2015-07-13T16:53:10-04:00

naǫ naǫ

13-07-2015

x - the number

\(x^2=4x+12 \\ x^2-4x-12=0 \\ x^2-6x+2x-12=0 \\ x(x-6)+2(x-6)=0 \\ (x+2)(x-6)=0 \\ x+2=0 \ \lor \ x-6=0 \\ x=-2 \ \lor \ x=6\)

The number is negative, so x=-2.

The number is -2.

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