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人気のある代数 >

(m^2+1)^3(m^2+m+1)^2=0

解

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0

解

m = i, m = - i, m = - \frac{1}{2} + i \frac{3}{2}, m = - \frac{1}{2} - i \frac{3}{2}

解答ステップ

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

m^{2} + 1 = 0 or m^{2} + m + 1 = 0

解く

m^{2} + 1 = 0 : m = i, m = - i

解く

m^{2} + m + 1 = 0 : m = - \frac{1}{2} + i \frac{3}{2}, m = - \frac{1}{2} - i \frac{3}{2}

解答は

m = i, m = - i, m = - \frac{1}{2} + i \frac{3}{2}, m = - \frac{1}{2} - i \frac{3}{2}

グラフ

人気の例

x^{3} + x = - 1

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

2x^3x^3x^2=6144

2 x^{3} x^{3} x^{2} = 6144

(2x+1)^2-(x^2+2)(x^2-2)=4,x+1/4-3=4

(2 x + 1)^{2} - (x^{2} + 2) (x^{2} - 2) = 4, x + \frac{1}{4} - 3 = 4

x^{6} - 7 x^{3} + 12 = 0