The difference of the square of a number and 16 is equal to 6 times that number. find the negative solution

the negative solution.  It is n = -2

Step-by-step explanation:

Let n represent the number.  Then n² - 16 = 6n, and, after rearrangement,

n² - 6n - 16 = 0.  This factors as follows:  

n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.

We are to find the negative solution.  It is n = -2.

step-by-step explanation:

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x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752