2009 · Q89
If x = 1 + √2, then what is the value of x 3 -4x 3 + 4x 2 ?
Elementary MathematicsAlgebra
- A– 1
- B0
- C1
- D2
Explanation
x⁴ − 4x³ + 4x² = x²(x−2)² = (3+2√2)(3−2√2) = 1.
If x = 1 + √2, then what is the value of x 3 -4x 3 + 4x 2 ?
Explanation
x⁴ − 4x³ + 4x² = x²(x−2)² = (3+2√2)(3−2√2) = 1.