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受欢迎的代数 >

-4.9x^2-5x+450=0

解答

- 4.9 x^{2} - 5 x + 450 = 0

解答

x = - \frac{5 ( 5 + 8845 )}{49}, x = \frac{5 ( 8845 - 5 )}{49}

+1

十进制

x = - 10.10692 \dots, x = 9.08651 \dots

求解步骤

- 4.9 x^{2} - 5 x + 450 = 0

在两边乘以

10

- 49 x^{2} - 50 x + 4500 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 50 ) \pm ( - 50 ) ^{2} - 4 ( - 49 ) \cdot 4500}{2 ( - 49 )}

(- 50)^{2} - 4 (- 49) \cdot 4500 = 108845

x_{1, 2} = \frac{- ( - 50 ) \pm 10 8845}{2 ( - 49 )}

将解分隔开

x_{1} = \frac{- ( - 50 ) + 10 8845}{2 ( - 49 )}, x_{2} = \frac{- ( - 50 ) - 10 8845}{2 ( - 49 )}

x = \frac{- ( - 50 ) + 10 8845}{2 ( - 49 )} : - \frac{5 ( 5 + 8845 )}{49}

x = \frac{- ( - 50 ) - 10 8845}{2 ( - 49 )} : \frac{5 ( 8845 - 5 )}{49}

二次方程组的解是:

x = - \frac{5 ( 5 + 8845 )}{49}, x = \frac{5 ( 8845 - 5 )}{49}

作图

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