If a and ß are the roots of equation x2 - 5x + 6= 0, then find the va – InterviewSolution

1.

If a and ß are the roots of equation x2 - 5x + 6= 0, then find the value of a - B.

Answer»

±1

Step-by-step EXPLANATION:

Here,

$\alpha + \beta = 5$

$\alpha \beta = 6$

$( \alpha - \beta )^{2}=( \alpha + \beta )^{2} - 4 \alpha \beta$

So,

$(\alpha-\beta )^{2} = 25-24=1 \\ \alpha - \beta = +1 \: or \: -1$

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