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人気のある代数 >

36t^4+29t^2-7=0

解

36 t^{4} + 29 t^{2} - 7 = 0

解

t = \frac{7}{6}, t = - \frac{7}{6}, t = i, t = - i

解答ステップ

36 t^{4} + 29 t^{2} - 7 = 0

equationを

u = t^{2}

と以下で書き換える:

u^{2} = t^{4}

36 u^{2} + 29 u - 7 = 0

解く

36 u^{2} + 29 u - 7 = 0 : u = \frac{7}{36}, u = - 1

u = \frac{7}{36}, u = - 1

再び

u = t^{2}

に置き換えて以下を解く:

t

解く

t^{2} = \frac{7}{36} : t = \frac{7}{6}, t = - \frac{7}{6}

解く

t^{2} = - 1 : t = i, t = - i

解答は

t = \frac{7}{6}, t = - \frac{7}{6}, t = i, t = - i

グラフ

人気の例

4 = x^{3} - x^{2} + x - 2

solvefor x,x^3=y^3

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

x^{8} - 16 = 15 x^{4}

x^{3} = 25

x^{4} - 4 x^{2} + 2 = 0