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人気のある代数 >

(m^2+7m)^2+5(m^2+7m)-6=0

解

(m^{2} + 7 m)^{2} + 5 (m^{2} + 7 m) - 6 = 0

解

m = - 1, m = - 6, m = \frac{- 7 + 53}{2}, m = \frac{- 7 - 53}{2}

+1

十進法表記

m = - 1, m = - 6, m = 0.14005 \dots, m = - 7.14005 \dots

解答ステップ

(m^{2} + 7 m)^{2} + 5 (m^{2} + 7 m) - 6 = 0

拡張

(m^{2} + 7 m)^{2} + 5 (m^{2} + 7 m) - 6 : m^{4} + 14 m^{3} + 54 m^{2} + 35 m - 6

m^{4} + 14 m^{3} + 54 m^{2} + 35 m - 6 = 0

因数

m^{4} + 14 m^{3} + 54 m^{2} + 35 m - 6 : (m + 1) (m + 6) (m^{2} + 7 m - 1)

(m + 1) (m + 6) (m^{2} + 7 m - 1) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

m + 1 = 0 or m + 6 = 0 or m^{2} + 7 m - 1 = 0

解く

m + 1 = 0 : m = - 1

解く

m + 6 = 0 : m = - 6

解く

m^{2} + 7 m - 1 = 0 : m = \frac{- 7 + 53}{2}, m = \frac{- 7 - 53}{2}

解答は

m = - 1, m = - 6, m = \frac{- 7 + 53}{2}, m = \frac{- 7 - 53}{2}

グラフ

人気の例

3x^3+9x^2-120x=0

3 x^{3} + 9 x^{2} - 120 x = 0

9 x^{2} - 14 x - x^{3} = 0

2x^3-4x^2+3x-1=0

2 x^{3} - 4 x^{2} + 3 x - 1 = 0

2x^3+49=x^2+98x

2 x^{3} + 49 = x^{2} + 98 x

4 x^{3} = 2 x^{2}