Question

if a^2 + a + 1=0 ,then find the value of a^9.

Answer 1

Use the quadratic equation to solve for a, the raise it to the 9th power.

Answer 2

\[ a^2 + a + 1=0\]
\[\frac{ -b ± \sqrt{b^2-4(a)(c)} }{ 2a } \]
\[\frac{ -1 ± \sqrt{1^2-4(1)(1)} }{ 2 \times 1 } \]
\[\frac{ -1 ± i \sqrt{3} }{ 2} \]

Answer 3

now, raise this to the ninth power.