+14923 If a and b are the roots of x^2 - 4x + 1 = 0, find a^3 + b^3.
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\(\{a,b \}\subseteq\{x_1,x_2 \}\)
\(x^2 - 4x + 1 = 0\\ x=2\pm \sqrt{4-1}\\ x_1=2+\sqrt{3}\\ x_2=2-\sqrt{3}\)
\(a^3+b^3=(2+\sqrt{3})^3+(2-\sqrt{3})^3=26+15\sqrt{3}+26-15\sqrt{3}\)
\(a^3+b^3=52\)
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