Question

Write the value of α+β if a=3, b=6, c=9

Answer 1

Step-by-step explanation:

a+b= -b/a

a+b= -6/3

a+b= -2

Answer 2

The value of  $\alpha +\beta$ is -2.

Given,

a=3, b=6, c=9.

To Find,

The value of α+β .

Solution,

We can solve this problem using the following method.

Basically for any quadratic equation, we can say, if this is,

$ax^2+bx+c=0$.

Then, if the roots of this equation be, $\alpha ,\beta$.

Then, $\alpha +\beta =-\frac{b}{a}$.

Here given a=3, b=6.

So, $\alpha +\beta =-\frac{6}{3}$

⇒$\alpha +\beta =-2$.

Hence, the value of $\alpha +\beta$ is -2.

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