add logic for pure quadratics

tester.sh

@@ -324,3 +324,50 @@ Polynomial degree: 2
 Discriminant is strictly negative, the two complex solutions are:
 4.89898i/6
 -4.89898i/6"
+
+run_test \
+"26. degree 2 pure" \
+"3 * x^2 + 5 * x^1 - 2 * x^0 = 5 * x" "\
+Reduced form: -2 * x^0 + 0 * x^1 + 3 * x^2 = 0
+Polynomial degree: 2
+Discriminant is strictly positive, the two solutions are:
+√(2/3)
+-√(2/3)"
+
+run_test \
+"27. degree 2 pure" \
+"9 * x^2 + 5 * x^1 - 2 * x^0 = 5 * x" "\
+Reduced form: -2 * x^0 + 0 * x^1 + 9 * x^2 = 0
+Polynomial degree: 2
+Discriminant is strictly positive, the two solutions are:
+(√2)/3
+-(√2)/3"
+
+run_test \
+"28. degree 2 pure" \
+"3 * x^2 + 5 * x^1 - 4 * x^0 = 5 * x" "\
+Reduced form: -4 * x^0 + 0 * x^1 + 3 * x^2 = 0
+Polynomial degree: 2
+Discriminant is strictly positive, the two solutions are:
+2/√(3)
+-2/√(3)"
+
+
+run_test \
+"29. degree 2 pure" \
+"16 * x^2 + 5 * x^1 - 4 * x^0 = 5 * x" "\
+Reduced form: -4 * x^0 + 0 * x^1 + 3 * x^2 = 0
+Polynomial degree: 2
+Discriminant is strictly positive, the two solutions are:
+1/2
+-1/2"
+
+
+run_test \
+"30. degree 2 pure" \
+"4 * x^2 + 5 * x^1 - 16 * x^0 = 5 * x" "\
+Reduced form: -4 * x^0 + 0 * x^1 + 3 * x^2 = 0
+Polynomial degree: 2
+Discriminant is strictly positive, the two solutions are:
+2
+-2"