Question

If alpha, beta are the zeroes of x2+7x+7.Find the values of 1/alpha+1/beta-2alpha beta.

Please solve this. PLZZZZZZZZZ

Answer 1

hope this will help u to understand.

Answer 2

Answer:

$\text{The value of }\frac{1}{\alpha}+\frac{1}{\beta}-2\alpha \beta \text{ is }-15$

Step-by-step explanation:

Given that α and β are the zeroes of the polynomial

$x^2+7x+7$

we have to find the value of  

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

The polynomial is $x^2+7x+7$

By comparing with standard form $ax^2+bx+c=0$

⇒ a=1, b=7 and c=7

$\text{Sum of zeroes= }\alpha+\beta=\frac{-b}{a}=-\frac{-7}{1}=-7$

$\text{Product of zeroes= }\alpha.\beta=\frac{c}{a}=\frac{7}{1}=7$

Now,  

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

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

$=\frac{-7}{7}-2(7)=-1-14=-15$