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受欢迎的代数 >

-3.35179*(t^2)/2+4.1t=0

解答

- 3.35179 \cdot \frac{t ^{2}}{2} + 4.1 t = 0

解答

t = 0, t = \frac{8.2}{3.35179}

+1

十进制

t = 0, t = 2.44645 \dots

求解步骤

- 3.35179 \cdot \frac{t ^{2}}{2} + 4.1 t = 0

展开

- 3.35179 \cdot \frac{t ^{2}}{2} + 4.1 t : - \frac{3.35179 t ^{2}}{2} + 4.1 t

- \frac{3.35179 t ^{2}}{2} + 4.1 t = 0

使用求根公式求解

t_{1, 2} = \frac{- 4.1 \pm 4. 1 ^{2} - 4 ( - \frac{3.35179}{2} ) \cdot 0}{2 ( - \frac{3.35179}{2} )}

4. 1^{2} - 4 (- \frac{3.35179}{2}) \cdot 0 = 4.1

t_{1, 2} = \frac{- 4.1 \pm 4.1}{2 ( - \frac{3.35179}{2} )}

将解分隔开

t_{1} = \frac{- 4.1 + 4.1}{2 ( - \frac{3.35179}{2} )}, t_{2} = \frac{- 4.1 - 4.1}{2 ( - \frac{3.35179}{2} )}

t = \frac{- 4.1 + 4.1}{2 ( - \frac{3.35179}{2} )} : 0

t = \frac{- 4.1 - 4.1}{2 ( - \frac{3.35179}{2} )} : \frac{8.2}{3.35179}

二次方程组的解是:

t = 0, t = \frac{8.2}{3.35179}

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