Question

for the polynomial x power 2 -14x+49=0 if alpha and beta are the zeroes then (alpha+beta)-alpha ×beta is equal to​

Answer 1

Answer:

The ratio of income of two persons is 11: 7 and the ratio of their expenditure is 9: 5. If each of them manage to save Rs. 400 per month, find their monthly incomes.

Answer 2

Answer:

For the polynomial x² – 14x + 49 = 0 if α and β are the zeroes then (α + β) – αβ is equal to – 35.

Step-by-step explanation:

The polynomial given is :

• x² – 14x + 49 = 0

When we compare ax² + bx + c = 0 to x² – 14x + 49 = 0, we get the values :

• a = 1

• b = – 14

• c = 49

Here, we know that :

★ Sum of the zeroes (α + β) = – b/a

• α + β = – (– 14)/1

• α + β = 14

★ Product of the zeroes (αβ) = c/a

• αβ = 49/1

• αβ = 49

Substituting these values in (α + β) – αβ :

• (α + β) – αβ

• 14 – 49

• – 35

Therefore, the value of (α + β) – αβ is – 35 when α and β are the zeroes of the polynomial x² – 14x + 49 = 0.