Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
Mathematical calculation：
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （1＋i）（i－1） = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
After the equation is converted into a general formula, it is converted into:
( i + 1 )( i - 1 )=0
From
i + 1 = 0
i - 1 = 0
it is concluded that:：
i1=-1
i2=1
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （1＋i）（i－1） = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | + | i | ) | ( | i | − | 1 | ) | = | 0 |
| Left side of the equation = | 1 | ( | i | − | 1 | ) | + | i | ( | i | − | 1 | ) |
| = | 1 | i | − | 1 | × | 1 | + | i | ( | i | − | 1 | ) |
| = | 1 | i | − | 1 | + | i | ( | i | − | 1 | ) |
| = | 1 | i | − | 1 | + | i | i | − | i | × | 1 |
| = | 0 | i | − | 1 | + | i | i |
| 0 | i | − | 1 | + | i | i | = | 0 |
After the equation is converted into a general formula, it is converted into:
( i + 1 )( i - 1 )=0
From
i + 1 = 0
i - 1 = 0
it is concluded that:：
i1=-1
i2=1
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》