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人気のある代数 >

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

解

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

解

x = - 1, x = 1 + 2, x = 1 - 2

+1

十進法表記

x = - 1, x = 2.41421 \dots, x = - 0.41421 \dots

解答ステップ

(2 x + 1)^{2} - (x^{2} + 2) (x^{2} - 2) = 4

拡張

(2 x + 1)^{2} - (x^{2} + 2) (x^{2} - 2) : - x^{4} + 4 x^{2} + 4 x + 5

- x^{4} + 4 x^{2} + 4 x + 5 = 4

4

を左側に移動します

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

因数

- x^{4} + 4 x^{2} + 4 x + 1 : - (x + 1)^{2} (x^{2} - 2 x - 1)

- (x + 1)^{2} (x^{2} - 2 x - 1) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x + 1 = 0 or x^{2} - 2 x - 1 = 0

解く

x + 1 = 0 : x = - 1

解く

x^{2} - 2 x - 1 = 0 : x = 1 + 2, x = 1 - 2

解答は

x = - 1, x = 1 + 2, x = 1 - 2

グラフ

人気の例

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

8x^4-96x^3+320x^2+588x-1764=0

8 x^{4} - 96 x^{3} + 320 x^{2} + 588 x - 1764 = 0

m^{4} = 625

5x^3+4x^2-12x=0

5 x^{3} + 4 x^{2} - 12 x = 0

x^{5} - 16 x = 0