Question

please check the answer​

Answer 1

Given: Quadratic equation is x² + x + 1 where α and β are the roots of the equation.

To find: The value of 1/a + 1/b

Solution:

Before solving the given question, we need to know the following results relating to the coefficients in a quadratic equation.

For any quadratic equation in the form of ax² + bx + c = 0,

• Sum of zeroes = -b/a
• Product of zeroes = c/a

Comparing our given equation with general form of quadratic equation will give us the following results:

x² + x + 1 = ax² + bx + c

• a = 1
• b = 1
• c = 1

By using these, we get:

Sum of zeroes = α + β = -1

Product of zeroes = αβ = 1

Now this will help us to arrive at the solution easily.

⇒ 1/α + 1/β

⇒ (α + β)/αβ

⇒ -1/1

⇒ 1

So, our required answer is 1.

Option [A] is correct option.