Class 10 Exam > Class 10 Questions > Find the roots of rhe quadratic equation Root...
Start Learning for Free
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method?
Most Upvoted Answer
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by f...
Factorization Method for Finding Roots of Quadratic Equation
One of the most commonly used methods for finding the roots of a quadratic equation is the factorization method. This method involves factoring the quadratic equation into two linear factors and then setting each factor equal to zero to find the roots.
Step-by-Step Solution
Let's use the factorization method to find the roots of the quadratic equation:
5x² - 9x + 4 = 0
Step 1: Identify the Values of a, b, and c
For the quadratic equation ax² + bx + c = 0, the values of a, b, and c are:
- a = 5
- b = -9
- c = 4
Step 2: Find the Product and Sum of the Roots
The product and sum of the roots of a quadratic equation ax² + bx + c = 0 can be found using the following formulas:
- Product of roots = c/a
- Sum of roots = -b/a
Using the values of a, b, and c from step 1, we get:
- Product of roots = c/a = 4/5
- Sum of roots = -b/a = 9/5
Step 3: Find the Linear Factors
We now need to find two linear factors that multiply to give the quadratic expression:
5x² - 9x + 4
One way to do this is to use the product-sum method:
- Find two numbers that multiply to give the product of the roots (4/5) and add to give the sum of the roots (9/5).
- These two numbers are 4/5 and 1.
- Split the middle term -9x into -4x - 5x.
- Factor by grouping: 5x² - 4x - 5x + 4
- Factor out the GCF from the first two terms: x(5x - 4)
- Factor out the GCF from the last two terms: -1(5x - 4)
- Combine the two factors: (x - 4/5)(5x - 4)
Step 4: Set Each Factor Equal to Zero
Now that we have the two linear factors, we can set each one equal to zero and solve for x:
- x - 4/5 = 0
- 5x -
Community Answer
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by f...
Miss ...princesssss u have ask not completed question (it's my thought)!!! ur comple question is 5x^2-9x+4 root 5=0
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method?
Question Description
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method?.
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method?.
Solutions for Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? defined & explained in the simplest way possible. Besides giving the explanation of
Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method?, a detailed solution for Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? has been provided alongside types of Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? theory, EduRev gives you an
ample number of questions to practice Find the roots of rhe quadratic equation Root 5x^-9x+4 roots 5 =0 by factorization method? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup