Question

Solve the quadratic equation by completing the square.

Answer 1

1) equation given: 0 = x^2 - 6x + 4

2) transpose 4: - 4 = x^2 - 6x

3) complete squares: - 4 = (x^2 - 6x + 9) - 9

4) transpose  -9 and factor the square trinomial x^2 - 6x + 9:

- 4 + 9 = (x - 3)^2

5) combine like terms: 5 = (x - 3)^2

6) take square root on both sides: x - 3 = +/- √5

7) transpose - 3: x = 3 +/- √5

Answer: the two solutions are x = 3 - √5 and x = 3 + √5

Answer 2

Answer:x = 3 - √5 and x = 3 + √5

Step-by-step explanation:

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