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受欢迎的代数 >

10-10t=5t-2t^2

解答

10 - 10 t = 5 t - 2 t^{2}

解答

t = \frac{15 - 145}{4}, t = \frac{15 + 145}{4}

+1

十进制

t = 0.73960 \dots, t = 6.76039 \dots

求解步骤

10 - 10 t = 5 t - 2 t^{2}

交换两边

5 t - 2 t^{2} = 10 - 10 t

将

10 t

para o lado esquerdo

- 2 t^{2} + 15 t = 10

将

10

para o lado esquerdo

- 2 t^{2} + 15 t - 10 = 0

使用求根公式求解

t_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 2 ) ( - 10 )}{2 ( - 2 )}

1 5^{2} - 4 (- 2) (- 10) = 145

t_{1, 2} = \frac{- 15 \pm 145}{2 ( - 2 )}

将解分隔开

t_{1} = \frac{- 15 + 145}{2 ( - 2 )}, t_{2} = \frac{- 15 - 145}{2 ( - 2 )}

t = \frac{- 15 + 145}{2 ( - 2 )} : \frac{15 - 145}{4}

t = \frac{- 15 - 145}{2 ( - 2 )} : \frac{15 + 145}{4}

二次方程组的解是:

t = \frac{15 - 145}{4}, t = \frac{15 + 145}{4}

作图

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