Ответ:
1.x1 = 2, x2 = -2, x3 = -√2 х4 = √2
2.=
3.
Объяснение:
x^4 - 6x^2 + 8 = 0
x^2 = y
y^2 - 6y + 8 = 0
D = (-6)^2 - 4(1 * 8) = 36 - 32 = 4
y1 = -(-6) - √4 / 2 * 1 = 6-2 / 2 = 4/2 = 2
y2 = -(-6)+√4/2*1 = 6+2/2 = 8/2 = 4
x1 = √2
x2 = -√2
x3 = -2
x4 = 2
2. 6x^2+13x-5/3x-1
+13x-5=0
D=-4(6*(-5))=169+120=289=
===-2,5
===
=(х- сокращается, и раскрываем скобки)
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Ответ:
1.x1 = 2, x2 = -2, x3 = -√2 х4 = √2
2.=
3.
Объяснение:
x^4 - 6x^2 + 8 = 0
x^2 = y
y^2 - 6y + 8 = 0
D = (-6)^2 - 4(1 * 8) = 36 - 32 = 4
y1 = -(-6) - √4 / 2 * 1 = 6-2 / 2 = 4/2 = 2
y2 = -(-6)+√4/2*1 = 6+2/2 = 8/2 = 4
x^2 = y
x1 = √2
x2 = -√2
x3 = -2
x4 = 2
2. 6x^2+13x-5/3x-1
+13x-5=0
D=-4(6*(-5))=169+120=289=
===-2,5
===
=(х- сокращается, и раскрываем скобки)