Question

If α and β are the zeroes of the polynomial

2x^2 + 5x + 1, then find the value of α + β + αβ.

Answer 1

Answer:

-2

Step-by-step explanation:

2x²+5x+1

α+β= -5/2

αβ=1/2

Therefore,

Value of α+β+αβ=

-5/2+1/2

= -4/2 i.e. -2

-2 IS THE ANSWER

HOPE THIS HELPS

Answer 2

For a quadratic equation, ax² + bx + c = 0,

The sum of the roots = -b/a​

and product of the roots is c/a

Here sum of roots = α + β = -5/2

Product of roots = αβ = 1/2

∴ α + β + αβ = -5/2 + 1/2

⇒ α + β + αβ = −2

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