Determine the solution set of (3x + 1)2 - 100 = 0.

Question

mathmale · Answer

Hello, Jacob!, 
Suggest writing (3x + 1)2 - 100 = 0.   as (3x + 1)^2 - 100 = 0.  The ^ symbol calls for exponentiation.

1.  Add 100 to both sides, to move the 100 to the right side.

mathmale · Answer

(3x + 1)^2 = 100

mathmale · Answer

2.

mathmale · Answer

Take the square root of both sides, remembering to put a "plus or minus" sign in front of

mathmale · Answer

he

mathmale · Answer

the square root of 100.

What do you have now?

This equation may have two solutions.  It's important that you check them (by substitution of your result into the original equation).

triciaal · Answer

Welcome to Openstudy111
you can shift the number 6 key to get the symbol for exponents
follow the steps given by @mathmate

mathmate · Answer

@triciaal 
haha, I suppose you mean @mathmale, my virtual twin, lol.