Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
Resolving prime factor：
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Current location：Mathematical operation > Decomposition prime factor history > Answer
Overview: 2 questions will be solved this time.Among them
☆1 equations
☆1 calculations of prime factor
[1/2 Digtal analysis]
Work：Break 2 into prime factors.
Question type: Resolving prime factor
Solution:
2=2
*Note: 2 is a prime number.
[ 2/2 Equation]
Work: Find the solution of equation 2x-2/3(x＋3) = -x＋3 .
Question type: Equation
Solution:Original question:
| 2 | x | − | 2 | ÷ | 3 | × | ( | x | + | 3 | ) | = | - | x | + | 3 |
| Left side of the equation = | 2 | x | − | 2 3 | ( | x | + | 3 | ) |
| 2 | x | − | 2 3 | ( | x | + | 3 | ) | = | - | x | + | 3 |
| Left side of the equation = | 2 | x | − | 2 3 | x | − | 2 3 | × | 3 |
| = | 2 | x | − | 2 3 | x | − | 2 |
| = | 4 3 | x | − | 2 |
4 3 | x | − | 2 | = | - | x | + | 3 |
Transposition :
4 3 | x | + | x | = | 3 | + | 2 |
Combine the items on the left of the equation:
7 3 | x | = | 3 | + | 2 |
Combine the items on the right of the equation:
7 3 | x | = | 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5 | ÷ | 7 3 |
| = | 5 | × | 3 7 |
We obtained :
| x | = | 15 7 |
Convert the result to decimal form :
| x | = | 2.142857 |