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人気のある代数 >

solvefor t,d=-16t^2-7t+61

解

解く

t, d = - 16 t^{2} - 7 t + 61

解

t = - \frac{7 + - 64 d + 3953}{32}, t = - \frac{7 - - 64 d + 3953}{32}

解答ステップ

d = - 16 t^{2} - 7 t + 61

辺を交換する

- 16 t^{2} - 7 t + 61 = d

d

を左側に移動します

- 16 t^{2} - 7 t + 61 - d = 0

解くとthe二次式

t_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 ( - 16 ) ( 61 - d )}{2 ( - 16 )}

簡素化

(- 7)^{2} - 4 (- 16) (61 - d) : - 64 d + 3953

t_{1, 2} = \frac{- ( - 7 ) \pm - 64 d + 3953}{2 ( - 16 )}

解を分離する

t_{1} = \frac{- ( - 7 ) + - 64 d + 3953}{2 ( - 16 )}, t_{2} = \frac{- ( - 7 ) - - 64 d + 3953}{2 ( - 16 )}

t = \frac{- ( - 7 ) + - 64 d + 3953}{2 ( - 16 )} : - \frac{7 + - 64 d + 3953}{32}

t = \frac{- ( - 7 ) - - 64 d + 3953}{2 ( - 16 )} : - \frac{7 - - 64 d + 3953}{32}

二次equationの解:

t = - \frac{7 + - 64 d + 3953}{32}, t = - \frac{7 - - 64 d + 3953}{32}

グラフ

人気の例

completesquare x^2-11x

co m pl e t es q u a re x^{2} - 11 x

solvefor y,xy^2=2-x^3y

so l v e f or y, x y^{2} = 2 - x^{3} y

- x^{2} + 16 x - 64 = 0

6 m^{2} = 7 m + 20

solvefor x,3x^2+3y^2+3z^2=27

so l v e f or x, 3 x^{2} + 3 y^{2} + 3 z^{2} = 27