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受欢迎的代数 >

m^2=3(m-1)

解答

m^{2} = 3 (m - 1)

解答

m = \frac{3}{2} + i \frac{3}{2}, m = \frac{3}{2} - i \frac{3}{2}

求解步骤

m^{2} = 3 (m - 1)

展开

3 (m - 1) : 3 m - 3

m^{2} = 3 m - 3

将

3

para o lado esquerdo

m^{2} + 3 = 3 m

将

3 m

para o lado esquerdo

m^{2} + 3 - 3 m = 0

改写成标准形式

a x^{2} + b x + c = 0

m^{2} - 3 m + 3 = 0

使用求根公式求解

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

化简

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

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

将解分隔开

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

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

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

二次方程组的解是:

m = \frac{3}{2} + i \frac{3}{2}, m = \frac{3}{2} - i \frac{3}{2}

作图

流行的例子

quadraticformula 4x^2+8x+3=0

q u a d r a t i c f or m u l a 4 x^{2} + 8 x + 3 = 0

quadraticformula 5x^2-18=0

q u a d r a t i c f or m u l a 5 x^{2} - 18 = 0

8 x^{2} - 6 x - 2 = 0

completesquare X^2+X-30=0

co m pl e t es q u a re X^{2} + X - 30 = 0

2 (x^{2} + 2) = 22