# Smart Math

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Math has many topics and sub topics. Some of the well-known topics in math are number system, algebra, calculus, geometry, trigonometry and many more. Each topic has its own subtopics example, geometry has different sub topics such as symmetry, congruency, volume and areas etc. Each subtopic uses some basic mathematical operations such as addition, subtraction, multiplication and division.

Example 1: Simplify and solve for x in the equation 3x – 4 = 26?

Solution: Given equation is 3x – 4 = 26.

Here the unknown variable which needs to be solved for is x.

First step: Adding 4 on both sides of the given equation.

(3x – 4) + 4 = 26 + 4.

This gives 3x = 30.

Now dividing both sided of the equation by 3.

This reduces the given equation 3x/ 3 = 30 /3; x = 10.

Hence the solution is x = 10.

Example 2: Find the slant asymptote of the curve
y = (x2 + 5x + 4)/(x+ 1)?

Solution: Given is the curve y = (x2 + 5x + 4)/(x+ 1)

Here the degree of the numerator is 2 and the degree of the denominator is 1. The degree of the numerator is greater than the degree of the denominator.

The numerator can be factored as (x2 + 5x + 4) = (x + 4) (x + 1).

The denominator is (x + 1) dividing gives (x + 4) (x +1)/ (x + 1) = x + 4.

Hence the slant asymptote is y = x + 4.