You are searching about What Are The 3 Types Of Solutions In Math, today we will share with you article about What Are The 3 Types Of Solutions In Math was compiled and edited by our team from many sources on the internet. Hope this article on the topic What Are The 3 Types Of Solutions In Math is useful to you.
A B C of Solving Quadratic Equation
An expression of the type ax² + bx + c = 0, (a ≠ 0) is called a quadratic equation in the variable x.
The equation ax² + bx + c = 0 is called the general form (or, standard form)
We can solve a quadratic equation by (1) factoring or by (2) applying the formula.
The formula for finding the roots of the quadratic equation is as follows
x = (- b ± √ (b² – 4 ac)) / 2 a
Now we will discuss how to fix the applied issues. Due to the wide variety of problems applied, there is no single resolution technique that works in all cases. However, the following suggestion has proven useful.
Step: 1 Read the problem carefully and determine what quantity(s) should be found.
Step: 2 Assign a variable name to the quantity.
Step: 3 Try to express the problem algebraically, determine which expressions are equal and write the necessary equation(s).
Step: 3 solve the resulting equation(s)
Now move on to a simple problem based on forming a quadratic equation and solving
Problem: The denominator of a fraction is more than twice the numerator. If the sum of the fraction and its inverse is 58/21. Find the fraction.
Solution:
Let the numerator of the fraction x (x be an element of I )
So its denominator is (2x + 1).
So the fraction is x / (2x + 1))
And the inverse would be (2 x + 1) / x
According to the problem:
(X / (2x + 1)) + ((2x + 1) / x) = ( 58 / 21 )
(X² + (2x + 1)²) / (x + (2x + 1)) = ( 58 / 21)
[L. C. D is = ( x + ( 2x + 1 ) ]
21 ( x² + 4 x² + 4x + 1 ) = 58 x ( 2x + 1 )
105x² + 84x + 21 = 116x² + 58x
11x² – 26x – 21 = 0
11 x ² – (33 – 7) x – 21 = 0 [using middle term factorization]
11 x ² – 33 x + 7 x – 21 = 0
11 x ( x – 3 ) + 7 ( x – 3 ) = 0
(x – 3) (11x + 7) = 0
Either ( x – 3 ) = 0 , or ( 11x + 7 ) = 0 [ using zero factor theorem ]
x = 3,
Of, (11x + 7) = 0
We get, x = – (7/11)
But x is an integer, neglect x = – (7/11)
Take x = 3
So the required fraction, (x / (2x + 1)) = (3 / (2 * 3 + 1))
= (3 / 7)
Now try the following:
A man’s age is twice the square of his son’s age. Eight years therefore the age of the man will be 4 years older than three times the age of his son. Find their current age?
If you can’t solve this problem, you probably need more practice. A good online tutor would be helpful if you plan to master this subject in a short time. Any reasonably good math teacher should do.
Video about What Are The 3 Types Of Solutions In Math
You can see more content about What Are The 3 Types Of Solutions In Math on our youtube channel: Click Here
Question about What Are The 3 Types Of Solutions In Math
If you have any questions about What Are The 3 Types Of Solutions In Math, please let us know, all your questions or suggestions will help us improve in the following articles!
The article What Are The 3 Types Of Solutions In Math was compiled by me and my team from many sources. If you find the article What Are The 3 Types Of Solutions In Math helpful to you, please support the team Like or Share!
Rate Articles What Are The 3 Types Of Solutions In Math
Rate: 4-5 stars
Ratings: 2166
Views: 93848082
Search keywords What Are The 3 Types Of Solutions In Math
What Are The 3 Types Of Solutions In Math
way What Are The 3 Types Of Solutions In Math
tutorial What Are The 3 Types Of Solutions In Math
What Are The 3 Types Of Solutions In Math free
#Solving #Quadratic #Equation
Source: https://ezinearticles.com/?A-B-C-of-Solving-Quadratic-Equation&id=508693
