#### Question

If a and b are roots of the equation x^{2} + ax + b = 0, then a + b =

1

2

-2

-1

#### Solution

The given quadric equation is `x^2 + ax + b = 0`, and their roots are *a* and *b*

Then find the value of * (*a + b)

Let `alpha and beta` be two roots of given equation

And, a = 1, b = a and , c = b

Then, as we know that sum of the roots

`alpha + beta = (-b)/a`

`a + b = (-a)/1`

` = -a`

And the product of the roots

`alpha . beta = c/a`

`a xx b = b /1`

` a = 1`

Putting the value of *a* in above

Therefore, the value of `a+ b = -1`.

Is there an error in this question or solution?

#### APPEARS IN

Solution If a and B Are Roots of the Equation X2 + Ax + B = 0, Then a + B = Concept: Solutions of Quadratic Equations by Factorization.