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Linear Functions

28. If alpha ...

Question

28. If alpha and beta are the zeroes of ax+bx+c. Then evaluate. . 1 ÷ a alpha+b + 1÷a beta +b

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α

β

are the zeros of the quadratic polynomial

f (x) = a x^{2} + b x + c

, then evaluate:

\frac{β}{a α + b} + \frac{α}{a β + b}

α

β

are the roots of the equation

a x^{2} - b x + c = 0

, then evaluate

(α + 1) (β + 1)

α, β

are roots of the equation

a x^{2} + b x + c = 0

\frac{1}{(a α)^{2}} + \frac{1}{(a β)^{2}}

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