Question

plzz plzz answer this question....above...⬆️​

Answer 1

Answer:

Step-by-step explanation:

S = 2 + sqrt(3) + 2 - sqrt(3) = 4

P = (2 + sqrt(3))(2 - sqrt(3)) = 4 - 3 = 1.

x^2 - Sx + P = 0

x^2 - 4x + 1 = 0.

Answer 2

GIVEN :-

Sum of two zeros of the polynomial is

$2 + \sqrt{3}$

Product of two zeros of the polynomial is

$2 - \sqrt{3}$

TO FIND :- The polynomial.

SOLUTION :-

FORMULA :-

Let the two zeros be alpha and beta.

$p(x) = k[ {x}^{2} - ( \alpha + \beta )x + \alpha \beta ]$

Here [k = constant ]

$p(x) = k[ {x}^{2} + (2 + \sqrt{3})x + (2 - \sqrt{3} ) ] \\ \\ \\ = {x}^{2} - (2 + \sqrt{3)}x + 2 - \sqrt{3} \: \: \: (ans)$

In this polynomial we can check that ,

a = 1

b = 2 + root 3

c = 2 - root 3