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24 votes
24 votes
1. Which quadratic equation below could be used to represent the follow

Your town wants to put a square fountain in the park. The fountain will
dimensions that can be used for the fountain?
x² + 16x + 64 = 800
Ox² + 8x + 16 = 800
C
None of the choices are correct.
2
x² + 16 = 800

User Jorge Mussato
by
3.2k points

1 Answer

9 votes
9 votes

Explanation:

your text misses some parts.

so, there is no clear way to tell you the correct answer option. but there are some indications what is more likely your teacher wants to see as an answer, when we look at the individual options.

x² + 16x + 64 = 800

is the same as

(x + 8)² = 800

and then

x + 8 = sqrt(800) = 28.28427125...

x = 20.28427125...

not a nice number, but yes, a possible solution.

x² + 8x + 16 = 800

is the same as

(x + 4)² = 800

x + 4 = sqrt(800) = 28.28427125...

x = 24.28427125...

again, not a nice number, but yes, a possible solution.

I ignore "none of the choices are correct". again you did not provide enough information to make that call, as we have already 2 possibly valid solutions.

x² + 16 = 800

x² = 784

x = sqrt(784) = 28

that is a "nice" number and a possible solution.

I would therefore bet on this answer, although, as mentioned, it is not clear what we actually try to find out.

User JorgeDeCorte
by
3.1k points