q^5+q^6=2q^9怎么解

1个回答

  • 1、q=1

    2、设q不等于1

    则两边同除以q^5得1+q=2q^4

    移位,(1-q^4)+(q-q^4)=0

    (1-q^2)(1+q^2)+q(1-q^3)=0

    (1-q)(1+q)(1+q^2)+q(1-q)(1+q^2+q)=0

    (1-q)[(1+q)(1+q^2)+q(1+q^2+q)]=0

    [(1+q)(1+q^2)+q(1+q^2+q)]=0