Wendy received a bill for $25 from a magazine club. She paid the magazine club $25. This can be expressed by the following equation.
25+ (-25) = 0
Which mathematical property justifies that the balance in her account is $0?
A. additive inverse
B. multiplicative inverse
C. additive property of zero
D. distributive property

The mathematical property 'additive inverse' justifies that the balance in her account is $0.

Step-by-step explanation:

We know that the additive inverse is what we add to a number to obtain zero.

In other words, the sum of a number and its opposite is zero.

so

When we write the equation

25+ (-25) = 0

It means the mathematical property 'additive inverse' justifies that the balance in her account is $0.

Because the additive inverse of +25 is -25, and the sum of 25+ (-25) is zero.

Therefore, the mathematical property 'additive inverse' justifies that the balance in her account is $0.

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0