How do you solve the equation #3(x^2+2)=18#?

Answer 1

#2#

#x^2 +2=18/3#
#x^2 +2=6#
#x^2 =6-2#
#x^2=4#
#x=sqrt(4)#
#x=2#
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Answer 2

#x = +-2#

Given   #3(x^2+2)=18#    Solve for #x#
1) Divide both sides by #3# After you divide, you will get this: #x^2 + 2 = 6#
2) Subtract #2# from both sides to isolate the #x^2# term #x^2 = 4#
3) Find the square roots of both sides #x = +-2#

The check is in place.

Using the original equation, sub in either #+2# or #-2# in the place of #x#. The equation should still equal #18#
#3(x^2+2)=18#
1) Sub in #-2#
#3((-2)^2+2)# should still equal #18#
2)Square the #-2# #3 (4+2)# should still equal #18#
3) Add inside the parentheses #3 (6)# should still equal #18#
4) Clear the parentheses by distributing the #3# #18  "does equal"  18#
#Check#
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Answer 3

To solve the equation (3(x^2+2)=18), you first distribute the (3) into the parentheses to get (3x^2+6=18). Then, you subtract (6) from both sides to isolate the quadratic term: (3x^2=12). Next, divide both sides by (3) to solve for (x^2): (x^2=4). Finally, take the square root of both sides to solve for (x), remembering to consider both the positive and negative roots: (x=\pm2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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