Flashcards
Ekvationer
Cards in this deck (10)
- 1Lös \(2x^2=72\)\(2x^2=72\)
\(x^2=36\)
\(x=\pm\sqrt{36}\)
\(x=\pm6\) - 2Lös \(3x^2+2=17\)\(3x^2+2=17\)
\(3x^2=15\)
\(x^2=5\)
\(x=\pm\sqrt{5}\) - 3Lös \(3x^2+17=2\)\(3x^2+17=2\)
\(3x^2=-15\)
\(x^2=-5\)
\(x=\sqrt{-5}\)
Saknar reell lösning - 4Lös \(2x^2+12x-32=0\)\(2x^2+12x-32=0\)
\(x^2+6x-16=0\)
\(x=-\frac{6}{2}\pm\sqrt{(\frac{6}{2})^2-(-16)}\)
\(x=3\pm5\)
\(x_1=2,x_2=-8\) - 5Lös \(x^2+px+q=0\)\(x^2+px+q=0\)
\(x=-\frac{p}{2}\pm\sqrt{(\frac{p}{2})^2-q}\)
(OBS! Måste vara \(1\cdot x^2\)) - 6Lös \(ab=0\)Nollproduktmetoden
\(a=0\) eller \(b=0\) - 7Lös \((x-2)(x+5)=0\)Nollproduktmetoden
\(x-2=0\Rightarrow x_1=2\)
\(x+5=0\Rightarrow x_2=-5\) - 8Lös \(2x^2-4x=0\)\(2x^2-4x=0\)
\(2x(x-2)=0\)
\(x_1=0\)
\(x-2=0\Rightarrow x_2=2\) - 9Lös \(x^3-2x^2-8x=0\)\(x^3-2x^2-8x=0\)
\(x(x^2-2x-8)=0\)
\(x_1=0\)
\(x^2-2x-8=0\)
PQ: \(x_2=4, x_3=-2\) - 10Lös \(x^4-8x^2-9=0\)\(x^4-8x^2-9=0\)
Substitution: \(t=x^2\)
\(t^2-8t-9=0\)
PQ: \(t_1=9, t_2=-1\)
\(x^2=9\Rightarrow x=\pm3\)
\(x^2=-1\Rightarrow Ej reella lösn\)
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- Description
- User has deleted their subject information Flashcards on Ekvationer, created by Deleted user on 14/12/2017.
- Created by
- Deleted user · Dec 2017
- Updated
- Dec 14, 2017
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- History
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- Created by Joacim Jonsson · Dec 2, 2017
- Copied by Joacim Jonsson · Dec 14, 2017
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