x平方减x平方分之根号2等于1的解
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x²-√2/x²=1x^4-x²-√2=0(x²-1/2)²-1/4-√2=0(x²-1/2)²=1/4+√2(x²-1/2)²=(1+4√2)/4x²-1/2=±√(1+4√2)/2x²=1/2±√(1+4√2)/2x²=1/2+√(1+4√2)/2x²=1/2-√(1+4√2)/2x1=±√[1/2+√(1+4√2)/2]x2=±√[1/2-√(1+4√2)/2 ]
咨询记录 · 回答于2023-01-31
x平方减x平方分之根号2等于1的解
x²-√2/x²=1x^4-x²-√2=0(x²-1/2)²-1/4-√2=0(x²-1/2)²=1/4+√2(x²-1/2)²=(1+4√2)/4x²-1/2=±√(1+4√2)/2x²=1/2±√(1+4√2)/2x²=1/2+√(1+4√2)/2x²=1/2-√(1+4√2)/2x1=±√[1/2+√(1+4√2)/2]x2=±√[1/2-√(1+4√2)/2 ]
结果根号里面还有根号?
没办法化简了啊,亲
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