Name: SAT Math Help & School Math Mastery
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#35021

quadratic equations

equations

easy

45 sec

In the given equation, $a$ and $b$ are positive constants.
$9 x^{2} - (6 a + 3 b) x + ab = 0$
The sum of the solutions to the given equation is $k (2 a + b)$ , 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.