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If the discrimination is >0 there are 2 solution, <0 no solotuions or =0 1 solution.
a^2 + 3a = 7
Set the equation equal to 0 by subtracting 7 from both sides:
a^2 + 3a -7 = 0
A = 1, b = 3 c = -7
Discriminate = b^2 -4ac
3^2- 4(1)(-7) = 37
The discriminate = 37
There are 2 solutuons