Odpowiedź:
a) - 7 x² + 42 x = 0
- 7 x*( x - 6 ) = 0
x = 0 lub x - 6 = 0
x = 0 lub x = 6
=================
b) 9 x² + [tex]\frac{1}{3}[/tex] x = 0
x*( 9 x + [tex]\frac{1}{3} ) = 0[/tex]
x = 0 lub 9 x + [tex]\frac{1}{3}[/tex] = 0
x = 0 lub 9 x = - [tex]\frac{1}{3}[/tex]
x = 0 lub x = - [tex]\frac{1}{3}[/tex] : 9
x = 0 lub x = - [tex]\frac{1}{27}[/tex]
======================
c) 36 x² = 6 x
36 x² - 6 x = 0
6 x*( 6 x - 1) = 0
x = 0 lub 6 x - 1 = 0
x = 0 lub 6 x = 1
x = 0 lub x = [tex]\frac{1}{6}[/tex]
================
d) 2 x + 18 x² = 0
2 x*( 1 + 9 x) = 0
x = 0 lub 1 + 9 x = 0
x = 0 lub 9 x = - 1
x = 0 lob x = - [tex]\frac{1}{9}[/tex]
==================
e) [tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2 \sqrt{2}[/tex]
[tex]\sqrt{2}[/tex] x² - √8 x = 0 / : √2
x²- 2 x = 0
x*( x - 2) = 0
x = 0 lub x = 2
=================
f ) [tex]\sqrt{3}[/tex] x = - 3 x²
3 x² + √3 x = 0
x*(3 x + √3 ) = 0
x = 0 lub 3 x + √3 = 0
x = 0 lub 3 x = - √3
x = 0 lub x = - [tex]\frac{\sqrt{3} }{3}[/tex]
====================
Szczegółowe wyjaśnienie:
