Question

Q5. If α and βare the zeroes of the polynomial 5x2- 8x -4 ,find the value of α+β+αβ.

Answer 1

Answer:

Hence, the value of α + β + α β will be 4/5

Step-by-step explanation:

✯Given:-

• Polynomial, 5x^2 - 8x - 4 = 0

• α and β are roots of the Equation.

✯To find:-

• The value of α + β + α β

✯Solution:-

Formula

✯ Sum of roots = -(Coefficient of x) / (Coefficient of x^2)

✯ Product of roots = (Constant part) / +(Coefficient of x^2)

So, now

==> Sum of roots = - (- 8) / 5

==> α + β = 8/5 ______________________(1)

and,

==> Product of roots = (-4) / 5

==> α β = - 4 / 5 ____________________(2)

Now , add both Equation (1) & Equation (2)

==> α + β + α β = 8/5 - 4/5

==> α + β + α β = (8 - 4)/5

==> α + β + α β = 4/5

Hence, the value of α + β + α β will be 4/5 Ans.

✯Answer:-

• Hence the value of α + β + α β will be 4/5

I hope it's help you...☺