Find the 5th term of the arithmetic sequence -5x – 9, 2x – 14, 9x – 19,...
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The general form of the quadratic equation is :
The discriminant is :
And the general solution is :
So, there are 3 situations for D
1. D = 0
So, the roots of a quadratic equation are two similar roots
2. D > 0
so, roots of a quadratic equation are two different roots
3. D < 0
so, roots of a quadratic equation are not real, two comlex roots