Question 181251
Determine whether the following equations have a solution or not? Justify your answer. 
a) x2 + 3x - 15 = 0 
b) x2 + x + 4 = 0
c) x2 – 4x - 7 = 0 
d) x2 – 8x + 16 = 0 
e) 2x2 - 3x + 7 = 0 
f) x2 – 4x - 77 = 0 
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0 
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All quadratics have solutions.  The solution might not be real numbers, but they're still solutions.
For example:
a) x2 + 3x - 15 = 0 
*[invoke solve_quadratic_equation 1,3,-15]
This has real number solutions, tho the numbers are irrational.
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b) x2 + x + 4 = 0
*[invoke solve_quadratic_equation 1,1,4]
The solutions are complex numbers, but they are solutions.