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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 （281.86+20x）*（70.965+20x） = 0 .
Question type: Equation
Solution:Original question:
| ( | 14093 50 | + | 20 | x | ) | ( | 14193 200 | + | 20 | x | ) | = | 0 |
| Left side of the equation = | 14093 50 | ( | 14193 200 | + | 20 | x | ) | + | 20 | x | ( | 14193 200 | + | 20 | x | ) |
| = | 14093 50 | × | 14193 200 | + | 14093 50 | × | 20 | x | + | 20 | x | ( | 14193 200 | + | 20 | x | ) |
| = | 200021949 10000 | + | 28186 5 | x | + | 20 | x | ( | 14193 200 | + | 20 | x | ) |
| = | 200021949 10000 | + | 28186 5 | x | + | 20 | x | × | 14193 200 | + | 20 | x | × | 20 | x |
| = | 200021949 10000 | + | 28186 5 | x | + | 14193 10 | x | + | 400 | x | x |
| = | 200021949 10000 | + | 14113 2 | x | + | 400 | x | x |
200021949 10000 | + | 14113 2 | x | + | 400 | x | x | = | 0 |
After the equation is converted into a general formula, it is converted into:
( 1000x + 14093 )( 4000x + 14193 )=0
From
1000x + 14093 = 0
4000x + 14193 = 0
it is concluded that:：
| x1= | - | 14093 1000 |
| x2= | - | 14193 4000 |
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》