Question

If α, β are the roots of x
² + px + q = 0, then find the value of α β.​

Answer 1

Step-by-step explanation:

Given:-

α, β are the roots of x^2 + px + q = 0

To find:-

Find the value of α β ?

Solution:-

Given the quadratic equation is x^2 + px + q = 0

On Comparing this with the standard quadratic equation ax^2 + bx + c = 0

We have

a = 1

b = p

c = q

If α, β are the roots of the given equation then

Product of the roots =

Constant term/ Coefficient of x^2

α β = c/a

=> α β = q/1

α β = q

Answer:-

The value of α β for the given problem is q

Used formulae:-

The standard quadratic equation ax^2 + bx + c = 0

Product of the roots =

Constant term/ Coefficient of x^2

α β = c/a