Like so:
As follows:
The following graph should help
Multiply both sides by 5(a+b); distribute the results on both sides, collect the terms in a and b, then divide through by b.
Hmm! Check the resukt when a = -1 and b = 3.
Start with the first term on the right, then:
Rearrange your solution to get 10x - 3.
As you note, there are two values \(\pm\sqrt{109}\)
What happens when you square these?
I get 17 points of intersection:
Equate the two:
x^2 + 4x + 6 = 2x^2 + 7x - 4
Simplify:
x^2 + 3x -10 = 0
Factor:
(x-2)(x+5) = 0
So the two roots (x-values) are: x = 2 and x = -5. These are c and a, respectively.
+33661 
