Question

If α and β are zeroes of polynomial a$x^{2}$+b$x$+c then $\frac{1}{\alpha } +\frac{1}{\beta }$ =

Answer 1

Que :- If α and β are zeroes of polynomial ax²+bx+c then find the value of 1/α + 1/β.

➜ In equation ax²+b+c,

α+β = -b/a

αβ = c/a

Now, 1/α + 1/β

= α+β/αβ

=$\frac{ \frac{ - b}{a} }{ \frac{c}{a} }$

= $\frac{ - b}{a} \div \frac{c}{a}$

=$\frac{ - b}{a} \times \frac{a}{c}$

= $\frac{ - b}{c}$