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30道一元二次方程带解

30道一元二次方程带解

一元二次方程的一般形式为 ( ax2 + bx + c = 0 ,其中 ( a neq 0 。以下是一些带解的一元二次方程示例:1. ( x2 5x + 6 = 0...

一元二次方程的一般形式为 ( ax2 + bx + c = 0 ),其中 ( a neq 0 )。以下是一些带解的一元二次方程示例:

1. ( x2 5x + 6 = 0 ) 解:( x_1 = 2, x_2 = 3 )

2. ( x2 4x + 4 = 0 ) 解:( x_1 = x_2 = 2 )

3. ( x2 + 2x 3 = 0 ) 解:( x_1 = 1, x_2 = -3 )

4. ( x2 6x + 9 = 0 ) 解:( x_1 = x_2 = 3 )

5. ( x2 2x 3 = 0 ) 解:( x_1 = 3, x_2 = -1 )

6. ( x2 + 6x + 9 = 0 ) 解:( x_1 = x_2 = -3 )

7. ( x2 8x + 7 = 0 ) 解:( x_1 = 1, x_2 = 7 )

8. ( x2 + 4x + 4 = 0 ) 解:( x_1 = x_2 = -2 )

9. ( x2 10x + 25 = 0 ) 解:( x_1 = x_2 = 5 )

10. ( x2 12x + 36 = 0 ) 解:( x_1 = x_2 = 6 )

11. ( x2 + 8x + 16 = 0 ) 解:( x_1 = x_2 = -4 )

12. ( x2 14x + 49 = 0 ) 解:( x_1 = x_2 = 7 )

13. ( x2 16x + 64 = 0 ) 解:( x_1 = x_2 = 8 )

14. ( x2 + 10x + 25 = 0 ) 解:( x_1 = x_2 = -5 )

15. ( x2 18x + 81 = 0 ) 解:( x_1 = x_2 = 9 )

16. ( x2 + 12x + 36 = 0 ) 解:( x_1 = x_2 = -6 )

17. ( x2 20x + 100 = 0 ) 解:( x_1 = x_2 = 10 )

18. ( x2 + 14x + 49 = 0 ) 解:( x_1 = x_2 = -7 )

19. ( x2 22x + 121 = 0 ) 解:( x_1 = x_2 = 11 )

20. ( x2 + 16x + 64 = 0 ) 解:( x_1 = x_2 = -8 )

21. ( x2 24x + 144 = 0 ) 解:( x_1 = x_2 = 12 )

22. ( x2 + 18x + 81 = 0 ) 解:( x_1 = x_2 = -9 )

23. ( x2 26x + 169 = 0 ) 解:( x_1 = x_2 = 13 )

24. ( x2 + 20x + 100 = 0 ) 解:( x_1 = x_2 = -10 )

25. ( x2 28x + 196 = 0 ) 解:( x_1 = x_2 = 14 )

26. ( x2 + 22x + 121 = 0 ) 解:( x_1 = x_2 = -11 )

27. ( x2 30x + 225 = 0 ) 解:( x_1 = x_2 = 15 )

28. ( x2 + 24x + 144 = 0 ) 解:( x_1 = x_2 = -12 )

29. ( x2 32x + 256 = 0 ) 解:( x_1 = x_2 = 16 )

30. ( x2 + 26x + 169 = 0 ) 解:( x_1 = x_2 = -13 )

请注意,这里给出的方程和它们的解都是通过配方或者求根公式得到的。如果你需要详细的解题过程,可以进一步询问。

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