Question

if alpha and beta are two zeros ofpolynomial 2x2 -3x -5 then find the value of alpha + beta ÷ alpha +× beta

Answer 1

heya !!



2X² - 3X - 5




Here,


A = 2 , B = -3 and C = -5



Sum of zeroes = -B/A



Alpha + Beta = 3/2




And,


Product of zeroes = C/A



Alpha × Beta = -5/2






Therefore,




Alpha + Beta / Alpha × Beta = 3/2 / -5/2



=> 3/2 × 2/ - 5




=> - 3/5.

Answer 2

Answer: $\frac{-3}{5}$

Step-by-step explanation:

• We know the twoo roots of quadratic equation is $\alpha$ and $\beta$.
• The given quadratic equation is $2x^{2} -3x-5=0$ where a=2,b=-3 and c=-5.
• We know sum of roots $\alpha +\beta =\frac{-b}{a}$

                                                        =$\frac{3}{2}$

• Product of roots $\alpha \beta =\frac{c}{a}$

                                         =$\frac{-5}{2}$

• Now $\frac{\alpha +\beta }{\alpha \beta }$

             ⇒$\frac{\frac{3}{2} }{\frac{-5}{2} }$

             ⇒$\frac{-3}{5}$

• Hence the required result is $\frac{-3}{5}$.

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