Name: SAT Math Help & School Math Mastery
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#14709

equations

quadratic equations

hard

95 sec

$25 x^{2} - (10 c + 15 d) x + c d = 0$

In the given equation, $c$ and $d$ are positive constants. The sum of the solutions to the given equation is $k (2 c + 3 d)$ , 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.