Class 10 Exam > Class 10 Questions > Find x with quadratic formula2𝑥 2 − 2√2𝑥 + ...
Start Learning for Free
Find x with quadratic formula
2𝑥
2 − 2√2𝑥 + 1 = 0?
2𝑥
2 − 2√2𝑥 + 1 = 0?
Most Upvoted Answer
Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0?
Quadratic Equation:
Given equation: 2𝑥^2 − 2√2𝑥 + 1 = 0
Quadratic Formula:
The quadratic formula is used to find the values of x that satisfy a quadratic equation of the form ax^2 + bx + c = 0. The formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Identify the coefficients:
In the given equation, a = 2, b = -2√2, and c = 1.
Substitute the values into the formula:
Plugging the values into the quadratic formula, we get:
x = (2√2 ± √((-2√2)^2 - 4*2*1)) / 2*2
Simplify the equation:
x = (2√2 ± √(8 - 8)) / 4
x = (2√2 ± √0) / 4
x = (2√2 ± 0) / 4
Solving for x:
Now, we have two possible solutions:
1. x = (2√2 + 0) / 4 = 2√2 / 4 = √2 / 2
2. x = (2√2 - 0) / 4 = 2√2 / 4 = √2 / 2
Therefore, the solutions for the given quadratic equation are x = √2 / 2.
Given equation: 2𝑥^2 − 2√2𝑥 + 1 = 0
Quadratic Formula:
The quadratic formula is used to find the values of x that satisfy a quadratic equation of the form ax^2 + bx + c = 0. The formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Identify the coefficients:
In the given equation, a = 2, b = -2√2, and c = 1.
Substitute the values into the formula:
Plugging the values into the quadratic formula, we get:
x = (2√2 ± √((-2√2)^2 - 4*2*1)) / 2*2
Simplify the equation:
x = (2√2 ± √(8 - 8)) / 4
x = (2√2 ± √0) / 4
x = (2√2 ± 0) / 4
Solving for x:
Now, we have two possible solutions:
1. x = (2√2 + 0) / 4 = 2√2 / 4 = √2 / 2
2. x = (2√2 - 0) / 4 = 2√2 / 4 = √2 / 2
Therefore, the solutions for the given quadratic equation are x = √2 / 2.
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 x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0?
Question Description
Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? 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 x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0?.
Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? 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 x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0?.
Solutions for Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? 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 x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? defined & explained in the simplest way possible. Besides giving the explanation of
Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0?, a detailed solution for Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? has been provided alongside types of Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? theory, EduRev gives you an
ample number of questions to practice Find x with quadratic formula2𝑥 2 − 2√2𝑥 + 1 = 0? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup