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If alpha and beta are the roots of the equation xsquare-5x+6=0, what is the value of alpha-beta? without finding values of alpha and beta separately?
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If alpha and beta are the roots of the equation xsquare-5x+6=0, what i...



Calculating the value of alpha-beta without finding the values of alpha and beta separately

Explanation:

Given equation: xsquare-5x+6=0

Key Concepts:
  • Sum of roots (alpha + beta) = -(-5) = 5
  • Product of roots (alpha * beta) = 6
  • Using the sum and product of roots formula:

    • alpha - beta = sqrt((alpha + beta)^2 - 4*alpha*beta)
    • alpha - beta = sqrt(5^2 - 4*6)
    • alpha - beta = sqrt(25 - 24)
    • alpha - beta = sqrt(1)
    • alpha - beta = 1



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If alpha and beta are the roots of the equation xsquare-5x+6=0, what is the value of alpha-beta? without finding values of alpha and beta separately?
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If alpha and beta are the roots of the equation xsquare-5x+6=0, what is the value of alpha-beta? without finding values of alpha and beta separately? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If alpha and beta are the roots of the equation xsquare-5x+6=0, what is the value of alpha-beta? without finding values of alpha and beta separately? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If alpha and beta are the roots of the equation xsquare-5x+6=0, what is the value of alpha-beta? without finding values of alpha and beta separately?.
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