Overview: 4 questions will be solved this time.Among them
☆1 inequalities
☆3 equations
[ 1/4 Equation]
Work: Find the solution of equation x^2 = 4 .
Question type: Equation
Solution:
After the equation is converted into a general formula, it is converted into:
( x + 2 )( x - 2 )=0
From
x + 2 = 0
x - 2 = 0
it is concluded that::
x1=-2
x2=2
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》[ 2/4Inequality]
Assignment:Find the solution set of inequality x^2+x >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x ^ 2 + x >0 (1)
From inequality(1):
x < -1 或 x > 0
The final solution set is :
x < -1 或 x > 0[ 3/4 Equation]
Work: Find the solution of equation e^x = 1 .
Question type: Equation
Solution:
the solutions is:
x=0
There are 1 solution(s).
解方程的详细方法请参阅:《方程的解法》[ 4/4 Equation]
Work: Find the solution of equation x^3-10*x = 9 .
Question type: Equation
Solution:
After the equation is converted into a general formula, there is a common factor:
( x + 1 )
From
x + 1 = 0
it is concluded that::
Solutions that cannot be obtained by factorization:
x2≈-2.541381 , keep 6 decimal places
x3≈3.541381 , keep 6 decimal places
There are 3 solution(s).
解程的详细方法请参阅:《方程的解法》Your problem has not been solved here? Please go to the Hot Problems section!