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What are quadratic inequalities and quadratic formulas in high school mathematics?
"Homogeneous" means "equal degree" from the word surface, which means that all variables in the formula have the same degree, which is a common concept in calculus. Like f=ax? +bxy+cy? It's a quadratic homogeneous formula about xy. The common method to deal with homogeneous formula is to get the formula of variable quotient by dividing the highest term of a variable, such as in ax? +bxy+cy? Divide by y to get a(x/y)? +b(x/y)+c, x/y can be regarded as a variable, thus reducing variables and creating conditions for seeking new ideas for solving problems and simplifying operations.

Homogeneous inequality: that is, the degree of each term in inequality is the same. Like x? -2xy-3y? & gt0、x? -2x? y+5y? & gt0