Question

If x=2+ √3 then find the value of
x⁴-4x³ +x² +x - √3
please solve thisss​

Answer 1

Answer:

value of x¹ - 4x³ + x² + x -

√3 = 2

it is given that, x = 2 + √3

⇒ (x - 2) = √3

squaring both sides we get,

⇒ (x - 2)² = (√3)²

- 4x + 4 = 3

- 4x + 1 = 0. (1)

we have to find value of x² - 4x³ +; √3 X

= x²(x² - 4x + 1) + x - √3

from equation (1) we get,

= x² x 0 + x - √3

= 0 +(2+√3)-√3

= 2

if x=root[ 3+2 root 2] then find the value of x to the power 4+ 1/x to the power 4