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受欢迎的代数 >

180=-1.09x^2+9.32x+202.42

解答

180 = - 1.09 x^{2} + 9.32 x + 202.42

解答

x = - \frac{- 466 + 461534}{109}, x = \frac{466 + 461534}{109}

+1

十进制

x = - 1.95745 \dots, x = 10.50791 \dots

求解步骤

180 = - 1.09 x^{2} + 9.32 x + 202.42

在两边乘以

100

18000 = - 109 x^{2} + 932 x + 20242

交换两边

- 109 x^{2} + 932 x + 20242 = 18000

将

18000

para o lado esquerdo

- 109 x^{2} + 932 x + 2242 = 0

使用求根公式求解

x_{1, 2} = \frac{- 932 \pm 93 2 ^{2} - 4 ( - 109 ) \cdot 2242}{2 ( - 109 )}

93 2^{2} - 4 (- 109) \cdot 2242 = 2461534

x_{1, 2} = \frac{- 932 \pm 2 461534}{2 ( - 109 )}

将解分隔开

x_{1} = \frac{- 932 + 2 461534}{2 ( - 109 )}, x_{2} = \frac{- 932 - 2 461534}{2 ( - 109 )}

x = \frac{- 932 + 2 461534}{2 ( - 109 )} : - \frac{- 466 + 461534}{109}

x = \frac{- 932 - 2 461534}{2 ( - 109 )} : \frac{466 + 461534}{109}

二次方程组的解是:

x = - \frac{- 466 + 461534}{109}, x = \frac{466 + 461534}{109}

作图

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