Question

slove X(X+1)-110,if X belongs to N​

Answer 1

Answer:

(x+x1)3=(x3+x31)+3(x+x1)

⇒  (x+x1)3=110+3(x+x1)

Let y=x+x1

⇒  y3=110+3y

⇒  y3−3y−110=0

⇒  y3−5y2+5y2−3y−110=0

⇒  y2(y−5)+5y2−25y+22y−110=0

⇒  y2(y−5)+5y(y−5)+22(y−5)=0

⇒  (y−5)(y2+