Question

33.what are the distinct features of rational equation?​

Answer 1

Answer:

A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, \frac{P(x)}{Q(x)}. Q(x)P(x). These fractions may be on one or both sides of the equation.

Answer 2

A rational equation is one that contains at least one fraction with a polynomial numerator and denominator.$\frac{P_x}{Q_x}$ On one or both sides of the equation, these fractions may appear. Reducing the fractions to a common denominator and then solving the numerator equality is a popular technique to solve these equations. While doing so, we must keep an eye out for cases where indeterminate forms such as $\frac{0}{0}$ or $\frac{1}{1}$ may appear.

Explanation:

Features of rational equation

• Because any rational function is equal to the ratio of two polynomial functions, it's logical to ask questions about rational functions in the same way that we do about polynomials.
• It's often useful to know where the function's value is zero when working with polynomials.

• We want to know where both $p(x)=0$ in a rational function$r(x)=p(x)/q(x),$in which $q(x)=0$
• We wish to know when a rational method's output value is zero and also where the function is undefined in relation to these queries.
• Furthermore, we can infer from the behavior of basic rational power functions like $\frac{1}{x}$ that rational functions may contain both horizontal and vertical coordinates.
• These problems about zeros and vertical hyperbolic geometry of rational functions may appear simple at first glance, with answers based solely on where the rational function's numerators are zero.
• However, rational functions frequently admit very subtle behavior that both the human eye and the graph generated by the computer are unable to detect.