What's the difference between integral equation and fractional equation?

What's the difference between integral equation and fractional equation?


Integral equation: denominator has no unknowns
Fractional equation: unknown denominator



Difference between fractional equation and integral equation


A fractional equation is an equation with unknowns in the denominator, and there are no unknowns in the denominator of an integral equation. By removing the denominator, the fractional equation can also be transformed into an integral equation, but the solution of the transformed integral equation may not be the solution of the original fractional equation, but may be an increasing root. It must be tested



In order to celebrate a meaningful "June 1st" children's day, the Experimental Primary School launched an activity of donating books to a hope primary school. In the activity, class 1 of grade 5 donated 100 books, and class 2 of grade 5 donated 180 books. The number of students in class 2 was 1.2 times that of class 1. The average person in class 2 donated one more book than Class 1. How many students were there in each class?


Suppose there are x people in class one, then there are 1.2x people in class two. According to the meaning of the question: 100x + 1 = 1801.2x, the solution is: x = 50. The test shows that x = 50 is the solution of the original equation. 1.2x = 1.2 × 50 = 60. Answer: there are 50 people in class one and 60 people in class two



What's the difference between solving integral equation and solving fractional equation


The denominator is not zero when solving fractional equation;
In fact, when we solve the fractional equation, we often transform the fractional equation into the integral equation by general division. At this time, there may be increasing roots, so we need to test the root at the end. When we solve the integral equation, there will be no such trouble