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

1 answer:

3 0

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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