SOLUTION: First let me say I'm an old guy (52 years old)! Here is my problem, my 25 year old daughter has challenged me to solve this problem: What is the sum of the solution of the equ

Question 21992: First let me say I'm an old guy (52 years old)!
Here is my problem, my 25 year old daughter has challenged me to solve this problem:
What is the sum of the solution of the equation 3x^2 + 11x = 4 (three x squared plus 11x equals four
She gave me the answer as negative three and two-thirds, and has challenged me to show how she arrived at this answer.
Quite frankly, I have no idea. Any help would be greatly appreciated!
Thanks,
"Old Guy Dad"

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well, hang in there "old man"! (I'm 73!)
First, let's find the solutions or roots, as they are commonly called.
First subtract 4 from both sides of the equation.
Solve this quadratic equation by factoring.
Now apply the zero product principle.
and/or
If then, and
If then,
The roots are:

So their sum is:
= -3 1/3
Your daughter is correct!

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