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人気のある代数 >

9.81t^2-24t-140=0

解

9.81 t^{2} - 24 t - 140 = 0

解

t = \frac{20 ( 20 + 4215 )}{327}, t = \frac{20 ( 20 - 4215 )}{327}

+1

十進法表記

t = 5.19406 \dots, t = - 2.74758 \dots

解答ステップ

9.81 t^{2} - 24 t - 140 = 0

以下で両辺を乗じる:

100

981 t^{2} - 2400 t - 14000 = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 2400 ) \pm ( - 2400 ) ^{2} - 4 \cdot 981 ( - 14000 )}{2 \cdot 981}

(- 2400)^{2} - 4 \cdot 981 (- 14000) = 1204215

t_{1, 2} = \frac{- ( - 2400 ) \pm 120 4215}{2 \cdot 981}

解を分離する

t_{1} = \frac{- ( - 2400 ) + 120 4215}{2 \cdot 981}, t_{2} = \frac{- ( - 2400 ) - 120 4215}{2 \cdot 981}

t = \frac{- ( - 2400 ) + 120 4215}{2 \cdot 981} : \frac{20 ( 20 + 4215 )}{327}

t = \frac{- ( - 2400 ) - 120 4215}{2 \cdot 981} : \frac{20 ( 20 - 4215 )}{327}

二次equationの解:

t = \frac{20 ( 20 + 4215 )}{327}, t = \frac{20 ( 20 - 4215 )}{327}

グラフ

人気の例

g^{2} + 34 = - 135

12 x^{2} - x - 2 = 0

6 x^{2} - 42 x + 12 = 0

- 2 x^{2} + 7 x - 2 = 0

x^{2} = 20 x - 36