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Math always can be approached by analyzing step by step method for every question, its always necessary to solve the problems through the logical way and through the proper steps so that the student can understand the steps easily and follow it.

We will solve some questions in math by putting in some steps and explaining the problems.

Solved Examples

Question 1: Find the centroid of the triangle using the given coordinates (2, 4), (5, -6), (7, 8).
Solution:
Step 1: Formula  centroid = ($\frac{x_{1}+x_{2}+x_{3}}{3}$ , $\frac{y_{1}+y_{2}+y_{3}}{3}$)

Step 2: ($\frac{2+5+7}{3}$ , $\frac{4-6+8}{3}$)

Step 3: ($\frac{14}{3}$, 2) .

Question 2: Find the value of sin2x + 5 sinx + 6 = 0
Solution:
Let sin x = t

Step 1: t2 + 5t + 6 = 0

Step 2: t2 + 3t + 2t + 6 = 0

Step 3: t(t + 3)+2(t + 3) = 0

Step 4: (t + 3)(t + 2) = 0

Step 5: t = -3 and t = -2

Step 6: There is no solution for the above equation as the sine value ranges from -1 to +1.

Let us first start to analyze the given problem
1. Write down the steps while solving

2. If a statement problem is given then will convert it into standard mathematical equation.

3. Solve the problem accordingly.

We can go through few word problems in this section:

Example:

The sum of  a number and 48 times  its reciprocal  is 49 find the numbers.

Solution:

Step 1: Let x be the number

Step 2: Let $\frac{1}{x}$ be its reciprocal of number

Step 3:Their sum is x + 1/x = 49

Step 4: x2+48/x = 49

Step 5: x+ 48 = 49x

Step 6: x2- 49x + 48 = 0

Step 7: x2- 48x -1x + 48 = 0

Step 8: x(x-48)-1(x-48)=0

Step 9: x - 1 = 0 , x - 48 = 0

Step 10: x = 1, x = 48.

The number can be either 1 or 48.