Desmos Graphing Calculator

CalcReferenceCopy

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

hard

In the given equation, $a$ and $k$ are constants, where $k>4a$. The sum of the solutions to the equation is $3k+35$.
$(x-k{)}^2=(k-4a)(x-k)$

What is the value of $a$?

1

-35/4

2

-8.75