Question

HEY GENIUS JI.... HERE IS UR QUESTION?

IF THE ZEROES OF THE POLYNOMIAL
$xcube - 3xsqare + x + 1$
are a-b,a,a+b, find a&b.

PLSSS HELP ME GENIUS JI!!☹☹☹​

Answer 1

ANSWER

Answer is provided in attached image

Answer 2

Answer:

a = 1, b = √2

Step-by-step explanation:

Given :

The zeroes of the roots of the equation are : a , (a - b) , (a + b) and the equation is : x³ - 3x² + x + 1

To Find :

The values of a & b,.

Solution :

We know that,

The sum of the roots of the equation of the form :

ax³ + bx² + cx + d = 0 is $\frac{-b}{a}$.

In the given equation, the values of:

a = 1 , b = -3 , c = 1 , d = 1,.

Sum of the roots :

$a + (a + b) + (a - b) = \frac{-(-3)}{1}$

3a = 3

⇒ a = 1,

The product of the roots is $\frac{-d}{a}$.

a ( a - d ) ( a + d ) = $\frac{-1}{1}$

1 ( 1 - b ) ( 1 + b ) = -1

1 - b² = -1

b² = 2

⇒ b = √2