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人気のある代数 >

12x^4+11x^3-26x^2+x+2=0

解

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

解

x = 1, x = - 2, x = - \frac{1}{4}, x = \frac{1}{3}

+1

十進法表記

x = 1, x = - 2, x = - 0.25, x = 0.33333 \dots

解答ステップ

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

因数

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 : (x - 1) (x + 2) (4 x + 1) (3 x - 1)

(x - 1) (x + 2) (4 x + 1) (3 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 = 0 or 4 x + 1 = 0 or 3 x - 1 = 0

解く

x - 1 = 0 : x = 1

解く

x + 2 = 0 : x = - 2

解く

4 x + 1 = 0 : x = - \frac{1}{4}

解く

3 x - 1 = 0 : x = \frac{1}{3}

解答は

x = 1, x = - 2, x = - \frac{1}{4}, x = \frac{1}{3}

グラフ

人気の例

solvefor x,y=(x-1)^3

so l v e f or x, y = (x - 1)^{3}

6(5x^4-6x^2+1)=0

6 (5 x^{4} - 6 x^{2} + 1) = 0

y^{3} + 0.5 y = 0

6804=3780(1+r)^4

6804 = 3780 (1 + r)^{4}

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