Another System of Equations?
Algebra
Level
3
\[\large{\\ \\ \begin{cases} { a }^{ 4 }+{ ( ab ) }^{ 2 }+{ b }^{ 4 }=900 \\ { a }^{ 2 }+ab+{ b }^{ 2 }=45 \end{cases}}\]
Let \(a\) and \(b\) be real numbers that satisfy the equation above. Find the value of \(2ab\).
by
Lakshya Sinha