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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 10（1+x）（1+x） = 12.1 .
Question type: Equation
Solution:Original question:
| 10 | ( | 1 | + | x | ) | ( | 1 | + | x | ) | = | 121 10 |
| Left side of the equation = | 10 | × | 1 | ( | 1 | + | x | ) | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | ( | 1 | + | x | ) | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | × | 1 | + | 10 | x | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | + | 10 | x | + | 10 | x | ( | 1 | + | x | ) |
| = | 10 | + | 10 | x | + | 10 | x | × | 1 | + | 10 | x | x |
| = | 10 | + | 10 | x | + | 10 | x | + | 10 | x | x |
| = | 10 | + | 20 | x | + | 10 | x | x |
| 10 | + | 20 | x | + | 10 | x | x | = | 121 10 |
After the equation is converted into a general formula, it is converted into:
( 10x + 21 )( 10x - 1 )=0
From
10x + 21 = 0
10x - 1 = 0
it is concluded that:：
| x1= | - | 21 10 |
| x2= | 1 10 |
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》