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受欢迎的代数 >

x^2-3x=-4

解答

x^{2} - 3 x = - 4

解答

x = \frac{3}{2} + i \frac{7}{2}, x = \frac{3}{2} - i \frac{7}{2}

求解步骤

x^{2} - 3 x = - 4

将

4

para o lado esquerdo

x^{2} - 3 x + 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot 4}{2 \cdot 1}

化简

(- 3)^{2} - 4 \cdot 1 \cdot 4 : 7 i

x_{1, 2} = \frac{- ( - 3 ) \pm 7 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 7 i}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 7 i}{2 \cdot 1}

x = \frac{- ( - 3 ) + 7 i}{2 \cdot 1} : \frac{3}{2} + i \frac{7}{2}

x = \frac{- ( - 3 ) - 7 i}{2 \cdot 1} : \frac{3}{2} - i \frac{7}{2}

二次方程组的解是:

x = \frac{3}{2} + i \frac{7}{2}, x = \frac{3}{2} - i \frac{7}{2}

作图

流行的例子

x^{2} - 3 x = 2 x

5 x^{2} + 40 = - 60

x^{2} - 2 x - 3 = 2 x - 3

29 = 3 (x + 7)^{2} + 41

3^{2} + y^{2} = 25