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人気のある代数 >

solvefor t,w(t)=sqrt(t-16)

解

解く

t, w (t) = t - 16

解

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

解答ステップ

w (t) = t - 16

両辺を2乗する:

t^{2} w^{2} = t - 16

t^{2} w^{2} = t - 16

解く

t^{2} w^{2} = t - 16 : t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}}

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}}

解を検算する:

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

解答は

t = \frac{1 + 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}, t = \frac{1 - 1 - 64 w ^{2}}{2 w ^{2}} {0 < w \leq \frac{1}{8}}

グラフ

人気の例

sqrt(1+4x)=2sqrt(x)-3

1 + 4 x = 2 x - 3

7 - 6 x - x = 0

sqrt((x-1)^3)=8

(x - 1)^{3} = 8

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