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[tex]X^2+4 \sqrt{2X}+8=0 \\ \\ \\ X=? [/tex]

Sagot :

x² + 4√(2x) + 8 = 0
x = -4√(2) +/- √(4√(2) - 4(1)(8))
                        2(1)
x = -4(1.414) +/- √(4(1.414) - 32))
                           2
x = -5.656) +/- √(5.656 - 32))
                         2
x = -5.656 +/- √(-26.344)
                    2
x = -5.656 +/- √(26.344)√(-1)
                       2
x = -5.656 +/- 5.13264064590538√(-1)
                               2
x = -5.656 +/- 5.13264064590538i
                            2
x = -5.656 + 5.13264064590538i                            x = -5.656 - 5.13264064590538i
                           2                                                                               2
x = -2.828 + 2.56632032295269i                            x = -2.828 - 2.56632032295269i