Question

If alpha and beta are zeros of tbe polynomial x*2+x-2then find rhe value of 1by alpha +1by beta

Answer 1

it's ans is 1\2 means half of 1

Answer 2

Answer-

$\frac{1}{\alpha} +\frac{1}{\beta} =\frac{1}{2}$

Solution-

The given polynomial is,

$x^2+x-2$

Calculating the zeros of the polynomial,

$\Rightarrow x^2+x-2=0$

$\Rightarrow x^2+2x-x-2=0$

$\Rightarrow x(x+2)-1(x+2)=0$

$\Rightarrow (x-1)(x+2)=0$

$\Rightarrow (x-1)=0,\ (x+2)=0$

$\Rightarrow x=1,\ x=-2$

Then, α = 1 and β = -2

$\therefore \frac{1}{\alpha} +\frac{1}{\beta} =\frac{1}{1} +\frac{1}{-2} =1-\frac{1}{2}=\frac{1}{2}$