Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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: 6 questions will be solved this time.Among them
☆1 inequalities
☆1 equations
☆1 arithmetic calculations
☆1 integer calculations
☆1 calculations of prime factor
☆1 convert the decimals to fractions
[ 1/6 Equation]
Work: Find the solution of equation sinx^2+cosx^2 = 1 .
Question type: Equation
Solution:
This equation is an identity!
[ 2/6Inequality]
Assignment:Find the solution set of inequality sinx^2+cosx^2 >= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
sin x ^ 2 + cos x ^ 2 >= 1 (1)
From inequality(1)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
*Note: Radian.
[3/6 Formula]
Work: Calculate the value of equation sin50^2+cos50^2 .
Question type: Mathematical calculation
Solution:
sin50^2+cos50^2
=-0.262375^2+cos50^2
=-0.262375^2+0.964966^2
=0.068840640625+0.964966^2
=0.068840640625+0.931159381156
=1
Answer:sin50^2+cos50^2=1
Note: Radian
[4/6 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 56*18
Solution:
56*18 = 1008
Column vertical calculation:
[5/6 Digtal analysis]
Work：Break 1008 into prime factors.
Question type: Resolving prime factor
Solution:
1008=2*2*2*2*3*3*7
*Note: 1008 has 7 prime factors.
[ 6/6 Digital analysis ]
Work: Convert decimal 0.|1008 to fractional form.
Question type: Convert decimal to fraction
Solution:
*Note: Convert circular decimal to fraction.
☆1 inequalities
☆1 equations
☆1 arithmetic calculations
☆1 integer calculations
☆1 calculations of prime factor
☆1 convert the decimals to fractions
[ 1/6 Equation]
Work: Find the solution of equation sinx^2+cosx^2 = 1 .
Question type: Equation
Solution:
This equation is an identity!
[ 2/6Inequality]
Assignment:Find the solution set of inequality sinx^2+cosx^2 >= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
sin x ^ 2 + cos x ^ 2 >= 1 (1)
From inequality(1)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
*Note: Radian.
[3/6 Formula]
Work: Calculate the value of equation sin50^2+cos50^2 .
Question type: Mathematical calculation
Solution:
sin50^2+cos50^2
=-0.262375^2+cos50^2
=-0.262375^2+0.964966^2
=0.068840640625+0.964966^2
=0.068840640625+0.931159381156
=1
Answer:sin50^2+cos50^2=1
Note: Radian
[4/6 Integer column vertical calculation]
Question type: Integer multiplication
Original question: 56*18
Solution:
56*18 = 1008
Column vertical calculation:
| 5 | 6 | |||||||
| ✖ | 1 | 8 | ||||||
| 4 | 4 | 8 | ||||||
| 5 | 6 | |||||||
| 1 | 0 | 0 | 8 | |||||
[5/6 Digtal analysis]
Work：Break 1008 into prime factors.
Question type: Resolving prime factor
Solution:
1008=2*2*2*2*3*3*7
*Note: 1008 has 7 prime factors.
[ 6/6 Digital analysis ]
Work: Convert decimal 0.|1008 to fractional form.
Question type: Convert decimal to fraction
Solution:
| 0.|1008= | 112 1111 |
*Note: Convert circular decimal to fraction.