In order to understand this quadratic function equation system, we need to solve these two equations at the same time.

First, we list two equations: 1 1=4+2b+c,-7 =1-b+C. Our goal is to find the values of b and c. First, we can solve c: -7 = 1-B+C and c = b-/from the second equation.

Substituting C into the first equation, we can get:1= 4+2b+(b+6), so we can get a unary equation containing only B. Now let's solve this unary equation: the solution is: b= 1/3.

Now that we have got the value of b, we can substitute it into the previous formula to get the value of c: c= 1/3+6= 19/3. So the results of simultaneous calculation are: b = 1/3, c = 19/3, so that the solution of quadratic function equations can be obtained.

Expand knowledge:

Function is a basic concept in mathematics, which represents the relationship between two variables. In algebra, a function can be expressed as y=f(x), where x is the independent variable, y is the dependent variable and f is the functional relationship. Functions can be divided into many types, such as linear function, quadratic function, inverse proportional function, exponential function, logarithmic function and so on.

In addition to the common function forms, there are many other function forms, such as trigonometric function, power function, Fibonacci function and so on. The images and attributes of these functions have their own uniqueness, which requires in-depth study to master.

The properties of functions include parity, monotonicity, periodicity, symmetry and so on. These properties are very important for grasping the image and application of functions. For example, monotonicity of function can help us find the maximum point of function, and parity can help us simplify the image of function and so on.

When solving practical problems, functions can be used to describe the relationship between variables, such as the relationship between speed and time in physics, the relationship between supply and demand in economics and so on. By finding the relationship between these variables, we can use functions to express and solve these problems.