Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

In the given equation, $k$ is a constant. A solution to the equation is $\frac{21}{2}-\frac{3\sqrt{69}}{2}$. What is the value of $k$?

$\frac{1}{3}{x}^2-7x+k=4$

A

-11

B

11

C

-15

D

4