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Home » Développez et résolvez : \(x^2 + 2x - 3 = 8 \implies x^2 + 2x - 11 = 0\). - DNSFLEX

Développez et résolvez : \(x^2 + 2x - 3 = 8 \implies x^2 + 2x - 11 = 0\). - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Solution: To find the fourth vertex of a regular tetrahedron with the...
$AB = \sqrt{(4-1)^2 + (5-2)^2 + (6-3)^2} = \sqrt{9 + 9 + 9} = \sqrt{27...
$AC = \sqrt{(7-1)^2 + (8-2)^2 + (9-3)^2} = \sqrt{36 + 36 + 36} = \sqrt...
$BC = \sqrt{(7-4)^2 + (8-5)^2 + (9-6)^2} = \sqrt{9 + 9 + 9} = \sqrt{27...
We observe that $AB = BC = 3\sqrt{3}$, but $AC = 6\sqrt{3}$, so the th...
However, if we reinterpret the question as seeking a fourth point $D =...
Let $AB = BC = CD = DA = DB = DC = s$. Then we solve the system of equ...
Subtracting the first equation from the second and the second from the...
[(x - 4)^2 - (x - 1)^2] + [(y - 5)^2 - (y - 2)^2] + [(z - 6)^2 - (z -...
-6x -6y -6z + 63 = 0 \Rightarrow x + y + z = 10.5

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