Real root is a mathematical term, which refers to the solution of an equation, or the root of an equation. The "real number" here refers to the actual number we use in mathematics, including positive numbers, negative numbers and zero.
When we say that an equation has real roots, we usually mean that the solution of this equation can be calculated by real numbers. This is usually achieved by algebraic operations (such as factorization) or calculus (such as solving integrals). Like the quadratic equation ax? The real root of +bx+c=0 can be obtained by the following formula: x = [-b sqrt (b? -4ac)]/(2a) where qrt stands for square root, b? -4ac is the discriminant.
For some complicated equations, such as transcendental equations (involving exponents, logarithms, trigonometric functions, etc. ), the real root may not exist or be very difficult to find. In these cases, we may need to use other methods, such as numerical methods, to find the approximate solution of the equation.
The existence of real roots depends on the form and coefficient of the equation. For example, for any unary quadratic equation, we can determine whether the equation has real roots and the number of real roots according to the value of the discriminant. What about discriminant B? -4ac is less than zero, then the equation has no real root; If the discriminant is equal to zero, then the equation has real roots; If the discriminant is greater than zero, the equation has two real roots.
Advantages of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.
It is used everywhere in life. Nowadays, the society is an information society, and mathematical knowledge is used in financial management and computers. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning. Mathematics can cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.