completing square form

2015-04-23 7:59 pm

How to change f(x)=1/2x^2 –6x + 26 into completing square form
更新1:

answer is 1/2(x-6)^2+8

更新2:

頭也痛了,唉,想不到

回答 (2)

2015-04-23 10:09 pm
✔ 最佳答案
f(x)    1
= ────────
  2x² - 6x + 26
    2
= ─────────
  4x² - 12x + 52
       2
= ─────────────────
  (2x)² - 2(2x)3 + 3² + 52 - 3²
    2
= ────────
  (2x - 3)² + 43

2015-04-23 14:40:53 補充:
對不起, 剛才斷錯症 ~

快服極速止痛配方 :

½ x² - 6x + 26

= ½ (x² - 12x + 52)

= ½ (x² - 2(6)x + 6² + 52 - 6²)

= ½ ( (x - 6)² + 16 )

= ½ (x - 6)² + 8

不額外收費~ 歡迎下次光臨! (啋!)


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