# How does this math problem have two answers? x^2-81=-17

##### 2 Answers

#### Answer

#### Answer:

#### Explanation

#### Explanation:

We start by putting all terms to one side of the equal sign:

#x^2 - 81 + 17 = 0#

#x^2 - 64= 0#

Note that

#(x + 8)(x - 8) = 0#

We can now see that if

We can also confirm graphically. If we trace the parabola

Therefore, our answer is correct.

Hopefully this helps!

#### Answer

#### Answer:

#### Explanation

#### Explanation:

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#### Answer:

The highest power is 2.

#### Explanation:

Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.

While solving this problem, you gather all terms on one side so the equation looks like

then factor

then, because any number times 0 equals 0, we know that one of the two parts in the parenthesis must be equal to 0, so

and so the two answers

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