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Vesnalui [34]
2 years ago
7

4 times a number is 32 less than the square of that number. Find the negative solution.

Mathematics
1 answer:
zvonat [6]2 years ago
3 0

Answer:

<u>The negative solution is -4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁  - 8) = 0

(x₂ + 4) = 0

x₁ = 8

<u>x₂ = -4</u>

<u>The negative solution is -4</u>

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