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人気のある代数 >

solvefor s,h(s)=-16s^2+64s+190

解

解く

s, h (s) = - 16 s^{2} + 64 s + 190

解

s = - \frac{- 64 + h + h ^{2} - 128 h + 16256}{32}, s = - \frac{- 64 + h - h ^{2} - 128 h + 16256}{32}

解答ステップ

h (s) = - 16 s^{2} + 64 s + 190

改良

s h = - 16 s^{2} + 64 s + 190

辺を交換する

- 16 s^{2} + 64 s + 190 = s h

s h

を左側に移動します

- 16 s^{2} + 64 s + 190 - s h = 0

標準的な形式で書く

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

- 16 s^{2} + (64 - h) s + 190 = 0

解くとthe二次式

s_{1, 2} = \frac{- ( 64 - h ) \pm ( 64 - h ) ^{2} - 4 ( - 16 ) \cdot 190}{2 ( - 16 )}

簡素化

(64 - h)^{2} - 4 (- 16) \cdot 190 : h^{2} - 128 h + 16256

s_{1, 2} = \frac{- ( 64 - h ) \pm h ^{2} - 128 h + 16256}{2 ( - 16 )}

解を分離する

s_{1} = \frac{- ( 64 - h ) + h ^{2} - 128 h + 16256}{2 ( - 16 )}, s_{2} = \frac{- ( 64 - h ) - h ^{2} - 128 h + 16256}{2 ( - 16 )}

s = \frac{- ( 64 - h ) + h ^{2} - 128 h + 16256}{2 ( - 16 )} : - \frac{- 64 + h + h ^{2} - 128 h + 16256}{32}

s = \frac{- ( 64 - h ) - h ^{2} - 128 h + 16256}{2 ( - 16 )} : - \frac{- 64 + h - h ^{2} - 128 h + 16256}{32}

二次equationの解:

s = - \frac{- 64 + h + h ^{2} - 128 h + 16256}{32}, s = - \frac{- 64 + h - h ^{2} - 128 h + 16256}{32}

グラフ

人気の例

2 = \frac{1}{2} \cdot 3 \cdot V^{2}

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co m pl e t es q u a re t^{2} - 8 t - 5 = 0

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