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人気のある代数 >

151t-16t^2=88

解

151 t - 16 t^{2} = 88

解

t = \frac{151 - 17169}{32}, t = \frac{151 + 17169}{32}

+1

十進法表記

t = 0.62404 \dots, t = 8.81345 \dots

解答ステップ

151 t - 16 t^{2} = 88

88

を左側に移動します

151 t - 16 t^{2} - 88 = 0

標準的な形式で書く

a x^{2} + b x + c = 0

- 16 t^{2} + 151 t - 88 = 0

解くとthe二次式

t_{1, 2} = \frac{- 151 \pm 15 1 ^{2} - 4 ( - 16 ) ( - 88 )}{2 ( - 16 )}

15 1^{2} - 4 (- 16) (- 88) = 17169

t_{1, 2} = \frac{- 151 \pm 17169}{2 ( - 16 )}

解を分離する

t_{1} = \frac{- 151 + 17169}{2 ( - 16 )}, t_{2} = \frac{- 151 - 17169}{2 ( - 16 )}

t = \frac{- 151 + 17169}{2 ( - 16 )} : \frac{151 - 17169}{32}

t = \frac{- 151 - 17169}{2 ( - 16 )} : \frac{151 + 17169}{32}

二次equationの解:

t = \frac{151 - 17169}{32}, t = \frac{151 + 17169}{32}

グラフ

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