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人気のある代数 >

25t^4+22t^2-3=0

解

25 t^{4} + 22 t^{2} - 3 = 0

解

t = \frac{3}{5}, t = - \frac{3}{5}, t = i, t = - i

解答ステップ

25 t^{4} + 22 t^{2} - 3 = 0

equationを

u = t^{2}

と以下で書き換える:

u^{2} = t^{4}

25 u^{2} + 22 u - 3 = 0

解く

25 u^{2} + 22 u - 3 = 0 : u = \frac{3}{25}, u = - 1

u = \frac{3}{25}, u = - 1

再び

u = t^{2}

に置き換えて以下を解く:

t

解く

t^{2} = \frac{3}{25} : t = \frac{3}{5}, t = - \frac{3}{5}

解く

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

解答は

t = \frac{3}{5}, t = - \frac{3}{5}, t = i, t = - i

グラフ

人気の例

x^{3} - 6 x^{2} + x - 6 = 0

z^{2} (1 - z^{2}) = 16

solvefor x,-f=-x^3

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

-24x-24=x^3+8x^2

- 24 x - 24 = x^{3} + 8 x^{2}

4 x (5 x^{2} - 3) = 0