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受欢迎的代数 >

w^2=3(w-2)

解答

w^{2} = 3 (w - 2)

解答

w = \frac{3}{2} + i \frac{15}{2}, w = \frac{3}{2} - i \frac{15}{2}

求解步骤

w^{2} = 3 (w - 2)

展开

3 (w - 2) : 3 w - 6

w^{2} = 3 w - 6

将

6

para o lado esquerdo

w^{2} + 6 = 3 w

将

3 w

para o lado esquerdo

w^{2} + 6 - 3 w = 0

改写成标准形式

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

w^{2} - 3 w + 6 = 0

使用求根公式求解

w_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

化简

(- 3)^{2} - 4 \cdot 1 \cdot 6 : 15 i

w_{1, 2} = \frac{- ( - 3 ) \pm 15 i}{2 \cdot 1}

将解分隔开

w_{1} = \frac{- ( - 3 ) + 15 i}{2 \cdot 1}, w_{2} = \frac{- ( - 3 ) - 15 i}{2 \cdot 1}

w = \frac{- ( - 3 ) + 15 i}{2 \cdot 1} : \frac{3}{2} + i \frac{15}{2}

w = \frac{- ( - 3 ) - 15 i}{2 \cdot 1} : \frac{3}{2} - i \frac{15}{2}

二次方程组的解是:

w = \frac{3}{2} + i \frac{15}{2}, w = \frac{3}{2} - i \frac{15}{2}

作图

流行的例子

x^{2} = 3^{2}

(5 x + 1)^{2} = 9

x^{2} + \frac{5}{4} = x

x^{2} + 1 x - (1 + 7) = 0

2 x - 1 = x (x) - 1