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20 July, 17:22

Solve the quadratic equation by completing the square.

0 = x2 - 6x + 4

-4 = x2 - 6x

-4 + 9 = (x2 - 6x + 9)

5 = (x - 3) 2

What are the two solutions of the equation?

x = StartRoot 5 EndRoot and x = negative StartRoot 5 EndRoot

x = 3 + StartRoot 5 EndRoot and x = 3 - StartRoot 5 EndRoot

x = 5 + StartRoot 3 EndRoot and x = 5 - StartRoot 3 EndRoot

x = StartRoot five-thirds EndRoot and x = negative StartRoot five-thirds EndRoot

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Answers (1)
  1. 20 July, 17:25
    0
    x = 3 + StartRoot 5 EndRoot and x = 3 - StartRoot 5 EndRoot

    Step-by-step explanation:

    (x - 3) ^2 = 5

    x - 3 = ±√5

    x = 3 + √5, 3 - √5.
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