解決{l}{a^2-b^2=a+b}{a*b+3-4=2^2} |Microsoft數學求解器

$$\left. \begin{array} { l } { a ^ { 2 } - b ^ { 2 } = a + b } \\ { a \cdot b + 3 - 4 = 2 ^ { 2 } } \end{array} \right.$$

解 a、b (復數求解)

$$a=-\sqrt{5}i\approx -0-2.236067977i\text{, }b=\sqrt{5}i\approx 2.236067977i$$

$$a=\sqrt{5}i\approx 2.236067977i\text{, }b=-\sqrt{5}i\approx -0-2.236067977i$$

$$a=\frac{1-\sqrt{21}}{2}\approx -1.791287847\text{, }b=\frac{-\sqrt{21}-1}{2}\approx -2.791287847$$

$$a=\frac{\sqrt{21}+1}{2}\approx 2.791287847\text{, }b=\frac{\sqrt{21}-1}{2}\approx 1.791287847$$

解 a、b

$$a=\frac{1-\sqrt{21}}{2}\approx -1.791287847\text{, }b=\frac{-\sqrt{21}-1}{2}\approx -2.791287847$$

$$a=\frac{\sqrt{21}+1}{2}\approx 2.791287847\text{, }b=\frac{\sqrt{21}-1}{2}\approx 1.791287847$$