UPSC Exam > UPSC Questions > 4 root 3 x square + 5 x minus 2 root 3 is equ...
Start Learning for Free
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?
Most Upvoted Answer
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?
Using the Quadratic Formula to Solve the Equation:
To solve the equation 4√3x^2 + 5x - 2√3 = 0, we can use the quadratic formula which states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± √(b^2 - 4ac)) / 2a.
Identify the Coefficients:
- In this equation, a = 4√3, b = 5, and c = -2√3.
Substitute into the Quadratic Formula:
- Plugging these values into the formula, we get x = (-(5) ± √((5)^2 - 4*(4√3)*(-2√3))) / 2*(4√3).
Simplify the Expression:
- Simplifying further, x = (-5 ± √(25 + 96)) / 8√3
- x = (-5 ± √121) / 8√3
- x = (-5 ± 11) / 8√3
Calculate the Solutions:
- The two possible solutions are:
- x = (-5 + 11) / 8√3 = 6 / 8√3 = 3 / 4√3 = (3√3) / 4
- x = (-5 - 11) / 8√3 = -16 / 8√3 = -2√3
Therefore, the solutions to the equation 4√3x^2 + 5x - 2√3 = 0 are x = (3√3) / 4 and x = -2√3.
To solve the equation 4√3x^2 + 5x - 2√3 = 0, we can use the quadratic formula which states that for an equation in the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± √(b^2 - 4ac)) / 2a.
Identify the Coefficients:
- In this equation, a = 4√3, b = 5, and c = -2√3.
Substitute into the Quadratic Formula:
- Plugging these values into the formula, we get x = (-(5) ± √((5)^2 - 4*(4√3)*(-2√3))) / 2*(4√3).
Simplify the Expression:
- Simplifying further, x = (-5 ± √(25 + 96)) / 8√3
- x = (-5 ± √121) / 8√3
- x = (-5 ± 11) / 8√3
Calculate the Solutions:
- The two possible solutions are:
- x = (-5 + 11) / 8√3 = 6 / 8√3 = 3 / 4√3 = (3√3) / 4
- x = (-5 - 11) / 8√3 = -16 / 8√3 = -2√3
Therefore, the solutions to the equation 4√3x^2 + 5x - 2√3 = 0 are x = (3√3) / 4 and x = -2√3.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?
Question Description
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?.
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?.
Solutions for 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? defined & explained in the simplest way possible. Besides giving the explanation of
4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula?, a detailed solution for 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? has been provided alongside types of 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? theory, EduRev gives you an
ample number of questions to practice 4 root 3 x square + 5 x minus 2 root 3 is equal to zero using formula? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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