If α, β are the roots of the equat...
If α, β are the roots of the equation 2x2 - 3x + 2 = 0, form the equation whose roots are α2, β2 ?
• a)
4x2 – x + 4 = 0
• b)
2x2 + x + 5 = 0
• c)
5x2 + 3x + 7 = 0
• d)
6x2 + 4x + 8 = 0
 FREE This question is part of
If α, β are the roots of the equation 2x2- 3x + 2 = 0, form...
As per the given data
⇒ α + β = - b/a = - ( - 3)/2 = 3/2
⇒ αβ = c/a = 2/2 = 1
For the new equation roots are α2 and β2
∴ sum of the roots α2 + β2 = (α + β)2 - 2αβ = (3/2)2 - 2(1) = 9/4 – 2 = ¼
Product of the roots = α2β2 = (αβ)2 = 12 = 1
⇒ Required equation = x2 – (sum of the roots)x + product of the roots = 0
⇒ x2 – (1/4)x + 1 = 0
⇒ 4x2 - x + 4 = 0
View all questions of this test
If α, β are the roots of the equation 2x2- 3x + 2 = 0, form...
You could have any superpower, what would it be?
 Explore Courses for SSC JE exam
If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer?
Question Description
If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? for SSC JE 2024 is part of SSC JE preparation. The Question and answers have been prepared according to the SSC JE exam syllabus. Information about If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC JE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer?.
Solutions for If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC JE. Download more important topics, notes, lectures and mock test series for SSC JE Exam by signing up for free.
Here you can find the meaning of If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If α, β are the roots of the equation 2x2- 3x + 2 = 0, form the equation whose roots are α2, β2?a)4x2– x + 4 = 0b)2x2+ x + 5 = 0c)5x2+ 3x + 7 = 0d)6x2+ 4x + 8 = 0Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC JE tests.
 Explore Courses for SSC JE exam