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39 votes
What is the solution set for the open sentence with the given replacement set? X2 + 12 = 8x, { 2, 4, 5, 8}

What is the solution set for the open sentence with the given replacement set? X2 + 12 = 8x-example-1
User Polve
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2 Answers

17 votes
17 votes

Answer:

2

Explanation:

User Sandee
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30 votes
30 votes

Answer:

x = 2

Explanation:

x² + 12 = 8x ( subtract 8x from both sides )

x² - 8x + 12 = 0 ← in standard form

(x - 2)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 6 = 0 ⇒ x = 6

Given that the solution has to ∈ { 2, 4, 5, 8 } , then

solution is x = 2

User Pyrolistical
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