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受欢迎的代数 >

-8x+3x^2=-19

解答

- 8 x + 3 x^{2} = - 19

解答

x = \frac{4}{3} + i \frac{41}{3}, x = \frac{4}{3} - i \frac{41}{3}

求解步骤

- 8 x + 3 x^{2} = - 19

将

19

para o lado esquerdo

- 8 x + 3 x^{2} + 19 = 0

改写成标准形式

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

3 x^{2} - 8 x + 19 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 19}{2 \cdot 3}

化简

(- 8)^{2} - 4 \cdot 3 \cdot 19 : 241 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 41 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 41 i}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 41 i}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 41 i}{2 \cdot 3} : \frac{4}{3} + i \frac{41}{3}

x = \frac{- ( - 8 ) - 2 41 i}{2 \cdot 3} : \frac{4}{3} - i \frac{41}{3}

二次方程组的解是:

x = \frac{4}{3} + i \frac{41}{3}, x = \frac{4}{3} - i \frac{41}{3}

作图

流行的例子

6 = \frac{3 t ^{2}}{2} - 3

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completesquare x^2+2x-35=0

co m pl e t es q u a re x^{2} + 2 x - 35 = 0

18 x^{2} + 25 x - 3 = 0