(x-100)(x+10)=-2000怎么解

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(x-100)(x+10)=-2000怎么解(x-100)(x+10)=-2000怎么解(x-100)(x+10)=-2000怎么解(x-100)(x+10)=-2000x²-90x-100

(x-100)(x+10)=-2000怎么解
(x-100)(x+10)=-2000怎么解

(x-100)(x+10)=-2000怎么解
(x-100)(x+10)=-2000
x²-90x-1000+2000=0
x²-90x+1000=0
x=[90±√(-90)²-4*1000]/2=(90±√4100)/2=(90±10√41)/2
∴x=45±5√41