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If alpha and beta are the roots of the equation x² - 5x + 6 =0 then find the value of alpha - beta?
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If alpha and beta are the roots of the equation x² - 5x + 6 =0 then fi...
Given Equation:
The given equation is x² - 5x + 6 = 0.

Finding the Roots:
To find the roots of the equation, we can factorize it as (x-2)(x-3) = 0.
So, the roots are x = 2 and x = 3.

Relationship between Roots:
Let alpha = 2 and beta = 3 be the roots of the equation.
We know that the sum of roots, alpha + beta = 5 and the product of roots, alpha * beta = 6.

Finding Alpha - Beta:
Now, we can find the value of alpha - beta:
alpha - beta = 2 - 3
alpha - beta = -1
Therefore, the value of alpha - beta is -1.
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If alpha and beta are the roots of the equation x² - 5x + 6 =0 then find the value of alpha - beta?
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