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人気のある代数 >

(x+2)(x+3)(x+8)(x+12)=4x^2

解

(x + 2) (x + 3) (x + 8) (x + 12) = 4 x^{2}

解

x = - 4, x = - 6, x = \frac{- 15 + 129}{2}, x = \frac{- 15 - 129}{2}

+1

十進法表記

x = - 4, x = - 6, x = - 1.82109 \dots, x = - 13.17890 \dots

解答ステップ

(x + 2) (x + 3) (x + 8) (x + 12) = 4 x^{2}

拡張

(x + 2) (x + 3) (x + 8) (x + 12) : x^{4} + 25 x^{3} + 202 x^{2} + 600 x + 576

x^{4} + 25 x^{3} + 202 x^{2} + 600 x + 576 = 4 x^{2}

4 x^{2}

を左側に移動します

x^{4} + 25 x^{3} + 198 x^{2} + 600 x + 576 = 0

因数

x^{4} + 25 x^{3} + 198 x^{2} + 600 x + 576 : (x + 4) (x + 6) (x^{2} + 15 x + 24)

(x + 4) (x + 6) (x^{2} + 15 x + 24) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x + 4 = 0 or x + 6 = 0 or x^{2} + 15 x + 24 = 0

解く

x + 4 = 0 : x = - 4

解く

x + 6 = 0 : x = - 6

解く

x^{2} + 15 x + 24 = 0 : x = \frac{- 15 + 129}{2}, x = \frac{- 15 - 129}{2}

解答は

x = - 4, x = - 6, x = \frac{- 15 + 129}{2}, x = \frac{- 15 - 129}{2}

グラフ

人気の例

3 x^{3} + 12 x = 12 x^{2}

3 x^{5} + 15 x = 18 x^{3}

x^{4} + x - 2 = 0

x^{3} + 3 x^{2} + 3 x = 7

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