Question

Please help :( ^0^.....

Answer 1

Let α and β be their zeroes.

Given, α = 1 / β.

In this quadratic polynomial,

Coefficient of x² = ( a² + a )

Coefficient of x = 3

Constant term = 6a.

We know that,

Product of zeroes = constant term ÷ coefficient of x²

⇒ α × 1/α = 6a ÷ ( a² + a )

⇒ 1 = 6a ÷ a ( a + 1 )

⇒ 1 = 6 / ( a + 1 )

⇒ ( a + 1 ) = 6.

⇒ a = 6 - 1

∴ a = 5.