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人気のある代数 >

3(x^2-49)(36x^2-49)=0

解

3 (x^{2} - 49) (36 x^{2} - 49) = 0

解

x = - 7, x = 7, x = - \frac{7}{6}, x = \frac{7}{6}

+1

十進法表記

x = - 7, x = 7, x = - 1.16666 \dots, x = 1.16666 \dots

解答ステップ

3 (x^{2} - 49) (36 x^{2} - 49) = 0

因数

3 (x^{2} - 49) (36 x^{2} - 49) : 3 (x + 7) (x - 7) (6 x + 7) (6 x - 7)

3 (x + 7) (x - 7) (6 x + 7) (6 x - 7) = 0

零因子の原則を使用:

ab = 0

ならば

a = 0

または

b = 0

x + 7 = 0 or x - 7 = 0 or 6 x + 7 = 0 or 6 x - 7 = 0

解く

x + 7 = 0 : x = - 7

解く

x - 7 = 0 : x = 7

解く

6 x + 7 = 0 : x = - \frac{7}{6}

解く

6 x - 7 = 0 : x = \frac{7}{6}

解答は

x = - 7, x = 7, x = - \frac{7}{6}, x = \frac{7}{6}

グラフ

人気の例

9x^4-40x^2+16=0

9 x^{4} - 40 x^{2} + 16 = 0

x^4-2x^3+6x-1=0

x^{4} - 2 x^{3} + 6 x - 1 = 0

125 x^{3} - 27 = 0

2x^3-x^2-7x+6=0

2 x^{3} - x^{2} - 7 x + 6 = 0

3x^4-7x^3+2x^2-12x+2=0

3 x^{4} - 7 x^{3} + 2 x^{2} - 12 x + 2 = 0