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受欢迎的代数 >

x=1.8x^2-1.296x+0.23328

解答

x = 1.8 x^{2} - 1.296 x + 0.23328

解答

x = \frac{2.296 + 3.592}{3.6}, x = \frac{2.296 - 3.592}{3.6}

+1

十进制

x = 1.16423 \dots, x = 0.11131 \dots

求解步骤

x = 1.8 x^{2} - 1.296 x + 0.23328

交换两边

1.8 x^{2} - 1.296 x + 0.23328 = x

将

x

para o lado esquerdo

1.8 x^{2} - 2.296 x + 0.23328 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2.296 ) \pm ( - 2.296 ) ^{2} - 4 \cdot 1.8 \cdot 0.23328}{2 \cdot 1.8}

(- 2.296)^{2} - 4 \cdot 1.8 \cdot 0.23328 = 3.592

x_{1, 2} = \frac{- ( - 2.296 ) \pm 3.592}{2 \cdot 1.8}

将解分隔开

x_{1} = \frac{- ( - 2.296 ) + 3.592}{2 \cdot 1.8}, x_{2} = \frac{- ( - 2.296 ) - 3.592}{2 \cdot 1.8}

x = \frac{- ( - 2.296 ) + 3.592}{2 \cdot 1.8} : \frac{2.296 + 3.592}{3.6}

x = \frac{- ( - 2.296 ) - 3.592}{2 \cdot 1.8} : \frac{2.296 - 3.592}{3.6}

二次方程组的解是:

x = \frac{2.296 + 3.592}{3.6}, x = \frac{2.296 - 3.592}{3.6}

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