Name: SAT Math Help & School Math Mastery
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#14710

equations

quadratic equations

hard

95 sec

$81 x^{2} - (18 s + 27 t) x + s t = 0$

In the given equation, $s$ and $t$ are positive constants. The sum of the solutions to the given equation is $k (2 s + 3 t)$ , where $k$ is a constant. What is the value of $k$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.