Odpowiedź:
a) 2 x² - 6 x = 0
2 x*( x - 3) = 0
x = 0 lub x - 3 = 0
x = 0 lub x = 3
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b) [tex]\frac{3}{4} x^{2} - \frac{5}{12} x = 0[/tex] / * 12
9 x² - 5 x = 0
x*( 9 x - 5) = 0
x = 0 lub 9 x - 5 = 0
x = 0 lub 9 x = 5
x = 0 lub x = [tex]\frac{5}{9}[/tex]
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c) 3 x + 4 x² = 0
x*( 3 + 4 x) = 0
x = 0 lub 3 + 4 x = 0
x = 0 lub 4 x = -3
x = 0 lub x = - [tex]\frac{3}{4}[/tex]
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d) - [tex]\frac{2}{3} x - 6 x^{2} = 0[/tex] / * ( - 3)
2 x + 18 x² = 0
2 x*( 1 + 9 x ) = 0
x = 0 lub 9 x + 1 = 0
x = 0 lub 9 x = - 1
x = 0 lub x = - [tex]\frac{1}{9}[/tex]
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e) 5 x = 10 x²
10 x² - 5 x = 0
5 x*( 2 x - 1) = 0
x = 0 lub 2 x - 1 = 0
x = 0 lub 2 x = 1
x = 0 lub x = 0,5
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f ) [tex]\frac{1}{2} x^{2} - \frac{1}{4} x = \frac{2}{3} x^{2}[/tex] / * 12
6 x² - 3 x = 8 x²
- 2 x² -3 x = 0
-2 x*( x + 1,5) = 0
x = 0 lub x + 1,5 = 0
x = 0 lub x = - 1,5
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Szczegółowe wyjaśnienie:
