Question

f(x)=ax raise to the power 2 +bx +c then evaluate 1/alpha - 1/beta

Answer 1

Hey !!!

f(x) =ax^2 + bx + c

α + β = ( -b/a )

α*β =c/a (given)

Now ,

1/α -1/β = β -α /α*β

we have not , β-α

so, (β - α ) =√(α+β)^2-4αβ

=> √b^2/a^2 -4c/a (from given )

hence,

puting value

1/α -1/β = √b²/a² - 4c/a

or, √b²-4ac/a² Answer ✔



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@Rajukumar111