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人気のある代数 >

t^4-10t^2+9=0

解

t^{4} - 10 t^{2} + 9 = 0

解

t = 3, t = - 3, t = 1, t = - 1

解答ステップ

t^{4} - 10 t^{2} + 9 = 0

equationを

u = t^{2}

と以下で書き換える:

u^{2} = t^{4}

u^{2} - 10 u + 9 = 0

解く

u^{2} - 10 u + 9 = 0 : u = 9, u = 1

u = 9, u = 1

再び

u = t^{2}

に置き換えて以下を解く:

t

解く

t^{2} = 9 : t = 3, t = - 3

解く

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

解答は

t = 3, t = - 3, t = 1, t = - 1

グラフ

人気の例

x^4-2x^3+10x^2-20x=0

x^{4} - 2 x^{3} + 10 x^{2} - 20 x = 0

(2+h)^3-9(2)h=0.1

(2 + h)^{3} - 9 (2) h = 0.1

D^4+2D^3-11D^2-12D=0

D^{4} + 2 D^{3} - 11 D^{2} - 12 D = 0

solvefor x,x^3-y^5=0

so l v e f or x, x^{3} - y^{5} = 0

x^6+6x^4+9x^2+4=0

x^{6} + 6 x^{4} + 9 x^{2} + 4 = 0