The solutions to 2x^2 - 10x + 13 = -6x^2 - 18x - 15 are a+bi and a-bi, where a and b are positive. What is a\cdot b?
Simplify as
8x^2 + 8x + 28 = 0
2x^2 + 2x + 7 = 0
x = [-2 + sqrt (-52) ] / 4 = [-2 + 2sqrt (13) i ] / 4 = -1/2 + (1/2) sqrt (13) i
"a" is not positive
a * b = (-1/2) (1/2)sqrt 13 = -sqrt (13) / 4
+1218 
