Five Steps of Problem Solving

Introduction to five steps of problem solving:

Here we are going to see the article as five steps of problem solving method.In problem solving concepts we have to do follwing steps.

First understand the problem
Find what should be calculated
Use require formula
Form the equation and plug the data.
Simplify and get the result
let us see the five steps of problem solving.

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Factoring- Five Steps of Problem Solving:

Factor x^2+8x+6=0

Solution:

Step 1:

it is in the standard form of the quadratic equation Ax2+bx+c=0

Step 2:

here A=1, B=8 and c=6, the formula for the quadratic equation is

x= `(-b+- sqrt((b^2-4ac)))/ (2a) `

Step 3:

plug a, b and c values in the above formula

So it will be look like that below,

x= `(-6+- sqrt((6^2-4xx1 xx 8)))/ (2xx1) `X= `"(-6+- sqrt((36-32)))/ (2)`

Step 4:

if we solve these equation means we get the two root valueX= `"(-6+ sqrt(4))/ (2)`X=`"(-6- sqrt(4))/ (2)`

Step 5:

so the answer is x=-2 and x=-4

Geometry- five steps of problem solving:

Find the area and perimeter of the rectangle whose length is 6cm and width is 8cm?

Solution:

Step 1:

Length of the rectangle is 6cm and width is 8cm

Step2:

Formula for area of the rectangle is ==>  length* width

Step3:

Plug the values of length and width in the above formula
Area of the rectangle => 6x8=48cm2

Step 4:

Perimeter of the rectangle formula is 2(length + breath)

Step5:

Plug the values of length and width in the above formula

Perimeter = 2(6+8) =2(14) =28cm

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Fractions - Five Steps of Problem Solving

Add `5/8+3/2`

Solution:

Step 1:

Here the denominators of the fraction are different such as 8 and 2 so we take the greatest common factor of 8 and 2

Step 2:

Here the greatest common factor is 8 it will be divided by the denominator of each fraction (8 is divided by 8 so we get 1) so we have to multiply both the numerator and denominator by 1 so we get the faction like that` (5xx1)/ (8xx1) =5/8`

Step3:

Similarly we do that in the second fraction the denominator of that fraction is 2 so 8 will be divided by 2 means we get the value as 4

Step 4:

Multiply 4 on both the numerator and denominator so the second fraction looks like that below

`(3xx4)/ (2xx4) =12/8`

Step 5:

So the two fractions have the same denominator value now we do the operation as addition

`5/8+12/8=17/8`