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

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

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

Answer»

Answer:

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

Step-by-step explanation:

Formula

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

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

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

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

==> 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.

I HOPE it's help you...☺