# Final test!

Algebra Level 2

Given $$4x^2+6x+2 = 0$$ has two real roots, where $$u$$ is the bigger root, and $$z$$ is the smaller.

If $$\dfrac{114uk +2uz + 513k + 9z}{3(2u+9)} = 18+\dfrac23$$, find $$k$$.

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