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若X大于等于三分之一、小于等于五,求根号(5-X)+根号(3X-1)的最大值

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若X大于等于三分之一、小于等于五,求根号(5-X)+根号(3X-1)的最大值
若X大于等于三分之一、小于等于五,求根号(5-X)+根号(3X-1)的最大值
验证:
x值 公式
0.340  2.300124671
0.390  2.559401618
0.440  2.701101075
0.490  2.809241518
0.540  2.899271996
0.590  2.977496439
0.640  3.047227606
0.690  3.110461992
0.740  3.168512846
0.790  3.222298444
0.840  3.272490606
0.890  3.319598292
0.940  3.364017924
0.990  3.406065324
1.040  3.445996852
1.090  3.484023911
1.140  3.520323189
1.190  3.555044084
1.240  3.588314193
1.290  3.620243463
1.340  3.650927367
1.390  3.680449381
1.440  3.708882942
1.490  3.736293001
1.540  3.762737283
1.590  3.788267315
1.640  3.812929265
1.690  3.83676464
1.740  3.859810867
1.790  3.882101783
1.840  3.903668046
1.890  3.924537487
1.940  3.944735408
1.990  3.964284838
2.040  3.983206753
2.090  4.001520268
2.140  4.019242798
2.190  4.036390206
2.240  4.052976921
2.290  4.069016051
2.340  4.084519472
2.390  4.099497912
2.440  4.113961018
2.490  4.12791742
2.540  4.14137478
2.590  4.154339836
2.640  4.166818437
2.690  4.178815575
2.740  4.190335406
2.790  4.201381267
2.840  4.211955686
2.890  4.222060389
2.940  4.2316963
2.990  4.240863531
3.040  4.24956137
3.090  4.257788265
3.140  4.265541795
3.190  4.272818638
3.240  4.279614528
3.290  4.285924205
3.340  4.291741356
3.390  4.29705854
3.440  4.301867104
3.490  4.306157083
3.540  4.309917081
3.590  4.31313413
3.640  4.315793529
3.690  4.317878645
3.740  4.319370689
3.790  4.320248438
3.831  4.320493079
3.832  4.320493564
3.833  4.320493784
3.834  4.32049374
3.835  4.320493431
3.836  4.320492858
3.840  4.320487909
3.890  4.320061969
3.940  4.318939855
3.990  4.317086594
4.040  4.314462297
4.090  4.311021268
4.140  4.306710899
4.190  4.30147027
4.240  4.295228342
4.290  4.287901613
4.340  4.279391005
4.390  4.269577676
4.440  4.258317232
4.490  4.245431559
4.540  4.230696932
4.590  4.213826101
4.640  4.194440151
4.690  4.172021933
4.740  4.145833744
4.790  4.114758629
4.840  4.076955262
4.890  4.028958789
4.940  3.962475033
4.990  3.837646318