(สอวน.)
จงหาค่าผลบวกของ x ที่สอดคล้องกับสมการ
+ = 26 / 5

เฉลย >> โจทย์ข้อนี้ก็เป็นอีกสไตล์หนึ่งที่เขาชอบออกกัน
ก่อนอื่นเราสมมติตัวแปรขึ้นใหม่ให้ A =
แทนค่าลงในสมการหลัก จะได้ว่า A + (1 / A) = 26 / 5 นำ A คูณเข้าทั้ง 2 ฝั่งของสมการ
A^2 + 1 = 26A / 5 นำ 5 คูณเข้าทั้ง 2 ฝั่งของสมการ
ได้ว่า 5 A ^ 2 + 5 = 26 A จัดรูปสมการใหม่ได้ว่า
5A^2 - 26A + 5 = 0 แยกตัวประกอบได้ว่า
(5A - 1)(A - 5) = 0

เพราะฉะนั้นได้ A = 1/5 , 5
นำค่า A กลับไปแทนค่าใน A =
ได้ว่า 5 = เมื่อแก้สมการจะได้ค่า x = -25/24
และ 1 / 5 = เมื่อแก้สมการจะได้ค่า x = 1/24
สรุปว่าผลบวกของค่า x เท่ากับ -1 ครับ

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