Question

Please answer immediately any math expert
If x=1/2 -√3 (√ is the symbol of square root)
Then find : x3-2x2-7x+10
Please answer as soon as possible

Answer 1

x=1/2-√3
To find= x³-2x²-7x+10
Put the value of x in given equation
⇒(1/2-√3)² - 2(1/2-√3)² - 7(1/2-√3) +10 
⇒[(1/2)³ - 3{(1/2)²(√3)} + 3(1/2 (√3)² + (√3)²] - 2[(1/2)² - 2(1/2)(√3) + (√3)²] - 7(1/2 - √3) + 10
⇒[1/8 - 3√3/4 + 9/2 +3√3] - 2[1/4 - √3 +3] - [7/2 - 7√3] +10
⇒1-6√3+36+24√3/8 - 2(1-4√3+12/2] - [7-14√3/2] + 10
⇒37+18√3/8 - 13+4√3/2 - (7-14√3/2) - 10 
⇒37+18√3/8 - 13+4√3/2 - 7+14√3/2 +10
⇒37+18√3-52+16√3-56+112√3+80/8
⇒9+146√3/8