. what is the value of (alpha plus 3)(beta plus 3)

If α and β are the roots of the equation 2x² – 7x – 3 = 0, then what is the value of (α + 3) (β + 3)?

A. 10
B. 12
C. 15
D. 18

Best Answer

Correct Option is : D

Solution

Given: 2x² – 7x – 3 = 0

To find: The value of (α + 3) (β + 3)

Here a = 2 , b = -7 , c = -3

Now for , (α + 3) (β + 3)

⇒ α β + 3(α + β) + 9

Substituting the values obtained from eqn. (i)

⇒ 9+9 = 18

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