[tex]a) \\ {x}^{2} - 3x = 0 \\ x(x - 3) = 0 \\ x = 0\vee \:x = 3 \\ b) \\ {x}^{2} - 4 = 0 \\ {x}^{2} = 4 \\ x = 2\vee \: x = - 2 \\ c) \\ (x - 3)(3x - 4)= 0 \\ x - 3 = 0\vee3x - 4 = 0 \\ x = 3\vee \: x = \frac{4}{3} [/tex]
[tex]d) \\ {x}^{2} - x + 6 = 0 \\ \Delta = 1 - 4 \times 1 \times 6 < 0 \\ e) \\ {x}^{2} + 2 = 0 \\ x {}^{2} = - 2 \\ sprzecznosc[/tex]
[tex] \frac{25}{x + 5} = \frac{x - 5}{x - 1} \\ 25x - 25 = {x}^{2} - 25 \\ {x}^{2} - 25x = 0 \\ x(x - 25) = 0 \\ x = 0\vee \: x = 25[/tex]
[tex]g) \\ {x}^{2} - 3x = 4 \\ {x}^{2} - 3x - 4 = 0 \\ \Delta = 9 - 4 \times 1 \times ( - 4) = 25 \\ \sqrt{\Delta} = 5 \\ x1 = \frac{3 - 5}{2} = - 1 \\ x2 = \frac{3 + 5}{2} = 4[/tex]
Proszę :)
Sorry za bałagan na kartce XD
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
[tex]a) \\ {x}^{2} - 3x = 0 \\ x(x - 3) = 0 \\ x = 0\vee \:x = 3 \\ b) \\ {x}^{2} - 4 = 0 \\ {x}^{2} = 4 \\ x = 2\vee \: x = - 2 \\ c) \\ (x - 3)(3x - 4)= 0 \\ x - 3 = 0\vee3x - 4 = 0 \\ x = 3\vee \: x = \frac{4}{3} [/tex]
[tex]d) \\ {x}^{2} - x + 6 = 0 \\ \Delta = 1 - 4 \times 1 \times 6 < 0 \\ e) \\ {x}^{2} + 2 = 0 \\ x {}^{2} = - 2 \\ sprzecznosc[/tex]
[tex] \frac{25}{x + 5} = \frac{x - 5}{x - 1} \\ 25x - 25 = {x}^{2} - 25 \\ {x}^{2} - 25x = 0 \\ x(x - 25) = 0 \\ x = 0\vee \: x = 25[/tex]
[tex]g) \\ {x}^{2} - 3x = 4 \\ {x}^{2} - 3x - 4 = 0 \\ \Delta = 9 - 4 \times 1 \times ( - 4) = 25 \\ \sqrt{\Delta} = 5 \\ x1 = \frac{3 - 5}{2} = - 1 \\ x2 = \frac{3 + 5}{2} = 4[/tex]
Proszę :)
Sorry za bałagan na kartce XD