(5x²-2)²=9(x+3)²怎么解,

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(5x²-2)²=9(x+3)²怎么解,

(5x²-2)²=9(x+3)²怎么解,
(5x²-2)²=9(x+3)²怎么解,

(5x²-2)²=9(x+3)²怎么解,
(5x²-2)²-[3(x+3)]²=0
[(5x²-2)+3(x+3)][(5x²-2)²-3(x+3)]=0
(5x²+3x+7)(5x²-3x-11)=0
5x²+3x+7=0无解
所以5x²-3x-11=0
x=(3±√229)/10

(5x-2)²=9(x+3)²
(5x-2)²-9(x+3)²=0
(5x-2+3x+9)(5x-2-3x-9)=0
(8x+7)(2x-11)=0
x1=-7/8 x2=11/2

5x²-2=3(x+3)或5x²-2=-3(x+3)
然后再用求根公式求出即可,两个方程的解都是原方程的解
望采纳