Solving equations by graphing

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Solve equations by graphing

When Solving equations by graphing, there are often multiple ways to approach it. From the perspective of coefficient matrix, it is actually to transform coefficient matrix into diagonal matrix through row transformation. In terms of determinant, this does not change its value. This may indicate that determinant has some significance. Further transformation shows that this is related to the denominator of Cramer's law The determinant is solved when m = n and the value of the determinant is not 0. The matrix can find the number of existing rows and solutions of solutions where m is not equal to N, such as the solution of the following equations: In the traditional determinant layout, buildings are arranged in parallel, and there will be occlusion between buildings.

Fortunately, many problems do not need to solve the expression, only the value of y can be calculated. Since Newton, many mathematicians have studied the numerical solution methods of differential equations. Let y = UX be converted into a differential equation with separable variables for solution. For a first-order ordinary differential equation, if every function y except the first derivative term is the same as the power of X of the independent variable, it is called a homogeneous equation. Note: the homogeneous here means that the function y is the same as the power of the independent variable x.

Stationery beyond the above categories is not allowed to be brought into the examination room. After being checked and allowed by the invigilator, you can bring drinking water in transparent plastic bottles (the test time delayed due to accidents such as the examinee wetting the answer card will not be supplemented) and balm or small wet wipes in transparent (glass or plastic) bottles. Examinees can use calculators (without functions such as storage and wireless signal transmission and reception) in the examination of the subject of basic chemistry and analytical testing, but they are not allowed to use calculators in the examination of other subjects..

Next, the wave function is written in the form of variable separation and substituted into the eigenequation of the Hamiltonian operator, which can be decomposed into two independent equations, one of which is the eigenequation of the moving part of the center of mass and the other is the eigenequation of the relative moving part. The decomposed eigenequation has only one variable, which is equivalent to converting the original complex two body problem into a simple single body problem, and then the eigenstates and eigenvalues can be solved.

However, we didn't learn complex numbers in junior high school, so we can't talk about them. We learned complex numbers in high school, but the solution of third-order equations and Fourth-order Equations does not introduce new knowledge. Universities are familiar with these, But solving equations is too thin to be a college course Therefore, although people spent a lot of time in history to get the root seeking formula for solving them, its final form is complex and the content involved is embarrassing, so it has been in the corner of mathematics teaching for many years This is also why it was mentioned at the beginning of this article that the solution of higher-order (here, it refers to more than two) equations in the exam must have rational roots that can be seen almost at a glance The solution of the cubic equation in history has enough plots to be written into novels, involving trust and betrayal Those who are interested in this can go directly to the major encyclopedias. Even the bad Baidu Encyclopedia, this story is basically exhaustive.

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Zayda Wright
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Fayth Cook
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