求解二次方程示例

GeoGebra 命令及参数

1. GCD({an3^(2), ((2 * an1) * an3), an1^(2) + an2^(2)}) → comFact
2. Product(Zip[Element[f, 1]^(Mod[Element[f, 2], 2]), f, Factors[(-disc)]]) → discSqrFree
3. TableText({{"x=\frac{-b\pm\sqrt{(b)^2-4(a)( c )}}{2(a)}", "\text{Quadratic formula}"}, {"x=\frac{-" + b + "\pm\sqrt{(" + b + ")^2-4(" + a + ")(" + c + ")}}{2(" + a + ")}", "\text{Substitute into the quadratic formula.}"}, {"x=\frac{-" + b + "\pm\sqrt{" + (b^(2)) + "-" + (((4 * a) * c)) + "}}{" + ((2 * a)) + "}", "\text{Simplify.}"}, {"x=\frac{-" + b + "\pm\sqrt{" + disc + "}}{" + ((2 * a)) + "}", "\text{Simplify under the radical.}"}, {"x=\frac{-" + b + "\pm" + discSqrTerm + " i}{" + ((2 * a)) + "}", "\text{Simplify }\sqrt{" + disc + "}\text{.}"}, {"x=" + rePt + "\pm " + imPt + "i", "\text{Divide the fractions}."}}) → Work3