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人気のある代数 >

2.5x^4+3x^3-2.6x^2-5.1x-5.6=0

解

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6 = 0

解

x = \frac{7}{5}, x = - \frac{8}{5}, x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

解答ステップ

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6 = 0

以下で両辺を乗じる:

10

25 x^{4} + 30 x^{3} - 26 x^{2} - 51 x - 56 = 0

因数

25 x^{4} + 30 x^{3} - 26 x^{2} - 51 x - 56 : (5 x - 7) (5 x + 8) (x^{2} + x + 1)

(5 x - 7) (5 x + 8) (x^{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

5 x - 7 = 0 or 5 x + 8 = 0 or x^{2} + x + 1 = 0

解く

5 x - 7 = 0 : x = \frac{7}{5}

解く

5 x + 8 = 0 : x = - \frac{8}{5}

解く

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

解答は

x = \frac{7}{5}, x = - \frac{8}{5}, x = - \frac{1}{2} + i \frac{3}{2}, x = - \frac{1}{2} - i \frac{3}{2}

グラフ

人気の例

x^{6} - 2 = 0

根 x^3-11x^2+43x-65

roo t s x^{3} - 11 x^{2} + 43 x - 65

x^4+9x^3+19x^2-18x-56=0

x^{4} + 9 x^{3} + 19 x^{2} - 18 x - 56 = 0

x^3-9x^2+11x+21=0

x^{3} - 9 x^{2} + 11 x + 21 = 0

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