Question

if alpha and beta are the zeros of quadratic polynomal f(x)=<br />${x}^{2} - x - 4$<br />then find the value of <br />$\frac{1}{ \alpha } + \frac{1}{ \beta } + \alpha \beta$<br /><br />​

Answer 1

Answer:

$\texttt{</strong><u><strong>Question:-}</strong></u><strong>$

if alpha and beta are the zeros of quadratic polynomal f(x)=> x^2-x-4..then find the value of1/α+1/β+αβ

Step-by-step explanation:

$\texttt{</strong><u><strong>SOLUTION:-}</strong></u><strong>$

a=1  b=-1  c=-4

α=-b/a=-(-1)/1

α=1

β=c/a=-4/1

β=-4

1/α+1/β+αβ

=>$\texttt{1/1+1/-4+1*-4</strong><u><strong>}</strong></u><strong>$

Now,Cross Multiply 1/1+1/4

=$\texttt{</strong><em>-4+1/-4+-4</em><u><strong>}</strong></u><strong>$

-3/-4+(-4)  CROSS MULTIPLY

=-3+16/-4

=13/-4

$\texttt{</strong><u><em><strong>HOPE IT HELPS ™</strong></em></u><u><strong>}</strong></u><strong>$