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50 PTS!! WILL MARK BRAINLY


Explain why the equation (x-4)^2-28=8 has two solutions. 50 pt

heres what to fill out:
There are 2 solutions because the square root of any ______ number will give us both a ____ and _____ number as a solution .

fill in the blanks

Respuesta :

fieryanswererft

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution .

semsee45

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution.

Step-by-step explanation:

[tex](x-4)^2-28=8[/tex]

Add 28 to both sides:

[tex]\implies (x-4)^2=36[/tex]

Square root both sides:

[tex]\implies x-4=\pm 6[/tex]

[tex]\implies x=10, x=-2[/tex]