1.

if alpha amd beta are the zeroes of the polynomial x2+7x+3 then the value of (alpha-beta) whole square is​

Answer»

ong>Step-by-step explanation:

Solution :

If α and β are the zeroes of the quadratic POLYNOMIAL x² + 7x + 3

The VALUE of (α - β)²

As we know that polynomial are compared with ax² + bx + c

a = 1

b = 7

c = 3

1st

CONDITION:

We now that sum of the zeroes;

2nd

Condition:

We know that product of the zeroes;

Now;

We know that formula of the (α - β)² :

⟹(α+β)

2

−4αβ

⟹(−7)

2

−4(3)

⟹−7×(−7)−4×3

⟹49−12

⟹37

Thus;

The value of (α - β)² = 37 .


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