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人気のある代数 >

a^4-8a^2=-15

解

a^{4} - 8 a^{2} = - 15

解

a = 5, a = - 5, a = 3, a = - 3

+1

十進法表記

a = 2.23606 \dots, a = - 2.23606 \dots, a = 1.73205 \dots, a = - 1.73205 \dots

解答ステップ

a^{4} - 8 a^{2} = - 15

15

を左側に移動します

a^{4} - 8 a^{2} + 15 = 0

equationを

u = a^{2}

と以下で書き換える:

u^{2} = a^{4}

u^{2} - 8 u + 15 = 0

解く

u^{2} - 8 u + 15 = 0 : u = 5, u = 3

u = 5, u = 3

再び

u = a^{2}

に置き換えて以下を解く:

a

解く

a^{2} = 5 : a = 5, a = - 5

解く

a^{2} = 3 : a = 3, a = - 3

解答は

a = 5, a = - 5, a = 3, a = - 3

グラフ

人気の例

t^{7} = 5^{5}

6 x^{3} - 8 = 40

2^2x-5=3x^2-12x^{31}

2^{2} x - 5 = 3 x^{2} - 12 x^{31}

5x^3+15x^2-20x=0

5 x^{3} + 15 x^{2} - 20 x = 0

solvefor x,x^4-9x^2-y=0

so l v e f or x, x^{4} - 9 x^{2} - y = 0