Question 22

If $$ \alpha $$ & $$ \beta $$ are the zeros of the polynomial $$ 5 x^{2} -7x + 2 $$ then the sum of their reciprocals is:

Solution

The correct option is D

If the Quadratic equation is $$a^{2}$$+b$$x$$+ c = 0 then,

$$\alpha$$ + $$\beta$$ = $$\frac{-b}{a}$$ = $$\frac{7}{5}$$

$$\alpha$$ $$\beta$$= $$\frac{c}{a}$$= $$\frac{2}{5}$$

$$\frac{1}{\alpha}$$ + $$\frac{1}{\beta}$$ = $$\frac{\alpha+\beta}{\alpha\beta}$$

= $$\frac{\frac{7}{5}}{\frac{2}{5}}$$ = $$\frac{7}{2}$$

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: