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 2 4 5 8 class=](https://us-static.z-dn.net/files/d7d/57a780f932ef8d45994c2573be185178.png)
Answer:
x = 2
Step-by-step 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