Question

हल कीजिए? x+y=9. Xy=8​

Answer 1

Answer:

Step-by-step explanation:

x+ y = 9…………..(1)

x.y = 8……………..(2).

Formula:-

(x-y)^2 = (x+y)^2 - 4.x.y…………(3)

(x-y)^2= (9)^2–4×8 = 81- 32 = 49.

(x-y) = (+/-7)…………………….(4)

Formula:-

(x^2+y^2)= (x+y)^2–2.xy…………….(5)

(x^2+y^2) = [9^2–2×8] = 65.

(x^2 + y^2) = 65……………….(6)

Multiplying eqn (1) , (4) and (6).

(x+y).(x-y).(x^2+y^2) = 9×(+/-7)×65.

(x^2-y^2)×(x^2+y^2) = +/-(4095).

(x^4-y^4) = +/-(4095). Answer.