Question

Why does the equation (x-4)^2-28=8 have two solutions?

Answer 1

Answer:

This is because it is a quadratic equation.

It can therefore be solved using either factorization method or completing of squares method.

the factorization method has been worked above.

Answer 2

Answer:

For your first answer it is because they are two different ways to solve the equation

Step-by-step explanation:

For Example!

Solution 1:

(x-4)² – 28 = 8The 8 is positive making it a different equation (this is like absolute value). (I am assuming you know the answer to the probelm)

Solution 2:

(x-4)² – 28 = -8

The 8 could be negative meaning that when you add the 28 to the right side it is -8+28 which will be a negative!

I hope this helps

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