Question

if alpha beta are the zeros of the polynomial f(x)=x^(2)+yx+2 then such that alpha + beta=2 than the value of y is:-​

Answer 1

Answer:

The answer is -2

Step-by-step explanation:

Concept: If $\alpha,\beta$ are the zeroes of a quadratic polynomial $ax^2+bx+c$, then

                              $\alpha+\beta=-\dfrac{b}{a}$    and   $\alpha\beta=\dfrac{c}{a}$

Given $\alpha,\beta$ are the zeroes of $f(x)=x^2+yx+2$, and

                                        $\alpha+\beta=2$

                                        $\Rightarrow -\dfrac{y}{1}=2$, using above result

                                        $\therefore y=-2$