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受欢迎的代数 >

11x^2-20=8x

解答

11 x^{2} - 20 = 8 x

解答

x = \frac{2 ( 2 + 59 )}{11}, x = \frac{2 ( 2 - 59 )}{11}

+1

十进制

x = 1.76020 \dots, x = - 1.03293 \dots

求解步骤

11 x^{2} - 20 = 8 x

将

8 x

para o lado esquerdo

11 x^{2} - 20 - 8 x = 0

改写成标准形式

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

11 x^{2} - 8 x - 20 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 11 ( - 20 )}{2 \cdot 11}

(- 8)^{2} - 4 \cdot 11 (- 20) = 459

x_{1, 2} = \frac{- ( - 8 ) \pm 4 59}{2 \cdot 11}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 4 59}{2 \cdot 11}, x_{2} = \frac{- ( - 8 ) - 4 59}{2 \cdot 11}

x = \frac{- ( - 8 ) + 4 59}{2 \cdot 11} : \frac{2 ( 2 + 59 )}{11}

x = \frac{- ( - 8 ) - 4 59}{2 \cdot 11} : \frac{2 ( 2 - 59 )}{11}

二次方程组的解是:

x = \frac{2 ( 2 + 59 )}{11}, x = \frac{2 ( 2 - 59 )}{11}

作图

流行的例子

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