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受欢迎的代数 >

-16/2025 x^2+9/5 x+1.5=0

解答

- \frac{16}{2025} x^{2} + \frac{9}{5} x + 1.5 = 0

解答

x = - \frac{45 ( 6657 - 81 )}{32}, x = \frac{45 ( 81 + 6657 )}{32}

+1

十进制

x = - 0.83030 \dots, x = 228.64280 \dots

求解步骤

- \frac{16}{2025} x^{2} + \frac{9}{5} x + 1.5 = 0

在两边乘以

10

- \frac{32}{405} x^{2} + 18 x + 15 = 0

在两边乘以

405

- 32 x^{2} + 7290 x + 6075 = 0

使用求根公式求解

x_{1, 2} = \frac{- 7290 \pm 729 0 ^{2} - 4 ( - 32 ) \cdot 6075}{2 ( - 32 )}

729 0^{2} - 4 (- 32) \cdot 6075 = 906657

x_{1, 2} = \frac{- 7290 \pm 90 6657}{2 ( - 32 )}

将解分隔开

x_{1} = \frac{- 7290 + 90 6657}{2 ( - 32 )}, x_{2} = \frac{- 7290 - 90 6657}{2 ( - 32 )}

x = \frac{- 7290 + 90 6657}{2 ( - 32 )} : - \frac{45 ( 6657 - 81 )}{32}

x = \frac{- 7290 - 90 6657}{2 ( - 32 )} : \frac{45 ( 81 + 6657 )}{32}

二次方程组的解是:

x = - \frac{45 ( 6657 - 81 )}{32}, x = \frac{45 ( 81 + 6657 )}{32}

作图

流行的例子

2 x + 3 \cdot 8 = 12

x^{2} - 60 x + 2 = 0

3 x - 2 x^{2} = 0

3 (x + 2)^{2} = 60

\frac{x}{3} - \frac{1}{2} = \frac{5}{6}