The difference of the square of a number and 12 is equal to 4 times that number. find
the negative solution.

-2

Step-by-step explanation: Let the unknown number be " a"

From the statement,

a^2 - 12 = 4a this is a quadratic equation

i.e  a^2 - 4a - 12 = 0

factorizing the quadratic expression

( a + 2 ) ( a - 6 ) = 0

i.e a = -2 or 6

so, the negative solution is -2

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!