Question

if alpha and beta are the roots of equation x^2 -5x+ 6 = 0 , then find the value of alpha - beta .

do it in a sheet of paper....

10th class
2nd chapter polynomials

Answer 1

Hey friend, ☺️ here is your answer _____________________________

${x}^{2} - 5x + 6 = 0 \\ {x}^{2} - 2x - 3x + 6 = 0 \\ x(x - 2) - 3(x - 2) = 0 \\ (x - 2)(x - 3) = 0 \\ \\ x - 2 = 0 \: and \: \: x - 3 = 0 \\ x = 2 \: and \: x = 3 \\ \\ let \: alpha \: and \: beta \: be \: two \: zeroes \: then \\ alpha \: = 2 \: and \: beta \: = 3 \\ or \: \\ alpha \: = 3 \: and \: beta \: = 2 \\ \\ alpha \: - \: beta \: = 2 - 3 = - 1 \\ or \\ alpha \: - beta = 3 - 2 = 1$


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