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