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受欢迎的代数 >

460=-16t^2+85t+405

解答

460 = - 16 t^{2} + 85 t + 405

解答

t = \frac{85 - 3705}{32}, t = \frac{85 + 3705}{32}

+1

十进制

t = 0.75410 \dots, t = 4.55839 \dots

求解步骤

460 = - 16 t^{2} + 85 t + 405

交换两边

- 16 t^{2} + 85 t + 405 = 460

将

460

para o lado esquerdo

- 16 t^{2} + 85 t - 55 = 0

使用求根公式求解

t_{1, 2} = \frac{- 85 \pm 8 5 ^{2} - 4 ( - 16 ) ( - 55 )}{2 ( - 16 )}

8 5^{2} - 4 (- 16) (- 55) = 3705

t_{1, 2} = \frac{- 85 \pm 3705}{2 ( - 16 )}

将解分隔开

t_{1} = \frac{- 85 + 3705}{2 ( - 16 )}, t_{2} = \frac{- 85 - 3705}{2 ( - 16 )}

t = \frac{- 85 + 3705}{2 ( - 16 )} : \frac{85 - 3705}{32}

t = \frac{- 85 - 3705}{2 ( - 16 )} : \frac{85 + 3705}{32}

二次方程组的解是:

t = \frac{85 - 3705}{32}, t = \frac{85 + 3705}{32}

作图

流行的例子

9 - ∣ 3 x + 6 ∣ = 6

3 (3 - 2 x) = x + 5

S^{2} - 9 S + 6 = 0

x/2+3=(5x)/3-4x

\frac{x}{2} + 3 = \frac{5 x}{3} - 4 x

∣ 3 + 2 x ∣ = 7