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人気のある代数 >

2s^4+48s^2-50=0

解

2 s^{4} + 48 s^{2} - 50 = 0

解

s = 1, s = - 1, s = 5 i, s = - 5 i

解答ステップ

2 s^{4} + 48 s^{2} - 50 = 0

equationを

u = s^{2}

と以下で書き換える:

u^{2} = s^{4}

2 u^{2} + 48 u - 50 = 0

解く

2 u^{2} + 48 u - 50 = 0 : u = 1, u = - 25

u = 1, u = - 25

再び

u = s^{2}

に置き換えて以下を解く:

s

解く

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

解く

s^{2} = - 25 : s = 5 i, s = - 5 i

解答は

s = 1, s = - 1, s = 5 i, s = - 5 i

グラフ

人気の例

x^3+4x^2-10x-40=0

x^{3} + 4 x^{2} - 10 x - 40 = 0

2x^3+10x^2+4x=-8x

2 x^{3} + 10 x^{2} + 4 x = - 8 x

solvefor x,x^3-3x^2+x=0

so l v e f or x, x^{3} - 3 x^{2} + x = 0

2.5x^3+6.7x^2+4.9x-0.5=0

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

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

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