18. (1)[x^4-33x^2-40x+244]/[x^2-8x+15]=5证明:一、x=√(19-8√3)==> (1)二、x=√(19+8√3)==> (1)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 20:07:26

18. (1)[x^4-33x^2-40x+244]/[x^2-8x+15]=5证明:一、x=√(19-8√3)==> (1)二、x=√(19+8√3)==> (1)
18. (1)[x^4-33x^2-40x+244]/[x^2-8x+15]=5
证明:一、x=√(19-8√3)==> (1)
二、x=√(19+8√3)==> (1)

18. (1)[x^4-33x^2-40x+244]/[x^2-8x+15]=5证明:一、x=√(19-8√3)==> (1)二、x=√(19+8√3)==> (1)
证明:[x^4-33x^2-40x+244]/[x^2-8x+15]=5
即为x^4-33x^2-40x+244=5*[x^2-8x+15](1)
x^2-8x+15=/0(2)
(1)化简后为x^4-38x^2+319=0
解得x^2=19-8√3或19+8√3
所以x=√(19-8√3)或-√(19-8√3)或√(19+8√3)
或-√(19+8√3)
将解得的X代入(2)中适合
所以结论成立

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