Question

if α and β are the zeros of the polynomial ax2+bx+c then find the value of 1/α+1/β

Answer 1

here is the answer of the given problem

its easy you just need to find value of α and β and αβ then just find the lcm of 1/α+1/β then cancel

Answer 2

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

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

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

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

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