Rozwiąż równanie i sprawdź poprawność rozwiązania:
3x + (6x+1)² = 4(5+9x²) -4
Dziękuję :)
3x + (6x+1)² = 4(5+9x²) -43x + 36x² +12x + 1= 20 +36x² -415x + 36x² +1 = 16 + 36x² /-36x²15x +1 = 16 /-115x= 15 / :15x = 1Spr. 3*1 + (6*1+1)² = 4(5 +9*1²) -4 3 + 49 = 20 + 36 -452=56 -452=52
3x + (6x+1)² = 4(5+9x²) -43x + 36x² +12x + 1= 20 +36x² -415x + 36x² +1 = 16 + 36x² 15x +1 = 16 16x= 16 / :16x = 1
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3x + (6x+1)² = 4(5+9x²) -4
3x + 36x² +12x + 1= 20 +36x² -4
15x + 36x² +1 = 16 + 36x² /-36x²
15x +1 = 16 /-1
15x= 15 / :15
x = 1
Spr.
3*1 + (6*1+1)² = 4(5 +9*1²) -4
3 + 49 = 20 + 36 -4
52=56 -4
52=52
3x + (6x+1)² = 4(5+9x²) -4
3x + 36x² +12x + 1= 20 +36x² -4
15x + 36x² +1 = 16 + 36x²
15x +1 = 16
16x= 16 / :16
x = 1