Final answer:
The sum of the solutions of the quadratic equation 12x³-65x²+24x+10=0 is 5.42.
Step-by-step explanation:
This expression is a quadratic equation of the form 12x³-65x²+24x+10=0. To find the sum of the solutions or roots, we can use the fact that the sum of the roots of a quadratic equation in the form ax² + bx + c = 0 is given by -b/a.
From the equation, we have a = 12, b = -65. Therefore, the sum of the solutions is:
Sum = -b/a = -(-65)/12 = 65/12 = 5.42.