Question

If x=2√3,then find the value of x^4-4x^3+x^2+x-√3

Answer 1

Answer:

$\large{\underline{\boxed{\sf 156 - 95 \sqrt{3}}}}$

Step-by-step explanation:

Given that ;

x = 2√3

Substituting the value of x in the given equation ;

$\sf x {}^{4} - 4x {}^{3} + {x}^{2} + x - \sqrt{3} \\ \\ \implies \sf (2 \sqrt{3}) {}^{4} - 4(2 \sqrt{3}) {}^{3} + (2 \sqrt{3}) {}^{2} + 2 \sqrt{3} - \frac{3}{?} \\ \\ \implies \sf 144 - 96 \sqrt{3} + 12 + 2 \sqrt{3} - \sqrt{3} \\ \\ \implies \sf 156 - 95 \sqrt{3}$

Hence, the answer is (156 - 95√3).

_______________________

$\large{\underline{\underline{\mathfrak{\heartsuit \: Extra \: Information: \: \heartsuit}}}}$

This type of question can be easily solved if the value of integer is given. Simply plug it into the given equation, and rest of the thing is simply calculation.