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受欢迎的代数 >

1.33x^2-39.53x+793.16=0

解答

1.33 x^{2} - 39.53 x + 793.16 = 0

解答

x = \frac{3953}{266} + i \frac{26569903}{266}, x = \frac{3953}{266} - i \frac{26569903}{266}

求解步骤

1.33 x^{2} - 39.53 x + 793.16 = 0

在两边乘以

100

133 x^{2} - 3953 x + 79316 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3953 ) \pm ( - 3953 ) ^{2} - 4 \cdot 133 \cdot 79316}{2 \cdot 133}

化简

(- 3953)^{2} - 4 \cdot 133 \cdot 79316 : 26569903 i

x_{1, 2} = \frac{- ( - 3953 ) \pm 26569903 i}{2 \cdot 133}

将解分隔开

x_{1} = \frac{- ( - 3953 ) + 26569903 i}{2 \cdot 133}, x_{2} = \frac{- ( - 3953 ) - 26569903 i}{2 \cdot 133}

x = \frac{- ( - 3953 ) + 26569903 i}{2 \cdot 133} : \frac{3953}{266} + i \frac{26569903}{266}

x = \frac{- ( - 3953 ) - 26569903 i}{2 \cdot 133} : \frac{3953}{266} - i \frac{26569903}{266}

二次方程组的解是:

x = \frac{3953}{266} + i \frac{26569903}{266}, x = \frac{3953}{266} - i \frac{26569903}{266}

作图

流行的例子

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f a c t or 9 x^{2} + 60 x + 95 = - 5

2 x^{2} + 9 x - 56 = 0

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- 4 x^{2} - 8 x + 1 = 0

solvefor x,x^2-6x-3=0

so l v e f or x, x^{2} - 6 x - 3 = 0