If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 5? Choose the correct choice from the following choices
A) -1 B) 0 C) 6 D) 2 E) 3
Answer   x = 1 + √2   ∴ x4 - 4x3 + 4x2 + 5 = x2(x2 - 4x + 4) + 5   = x2(x - 2)2 + 5   = (1 + √2)2(1 + √2 - 2)2 + 5   =(√2 + 1)2 (√2 - 1)2 + 5   =[(√2)2 - (1)2]2 + 5   =(2 - 1)2 =1 + 5= 
<gadget id="calculator">1 + 5</gadget>
<output>6</output>
6   6orrect Option: 6
<result>C</result>
If x = 1 + √2, then what is the value of x4 - 4x3 + 4x2 + 5?