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人気のある代数 >

6x^2+4x+11=0

解

6 x^{2} + 4 x + 11 = 0

解

x = - \frac{1}{3} + i \frac{62}{6}, x = - \frac{1}{3} - i \frac{62}{6}

解答ステップ

6 x^{2} + 4 x + 11 = 0

解くとthe二次式

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 \cdot 6 \cdot 11}{2 \cdot 6}

簡素化

4^{2} - 4 \cdot 6 \cdot 11 : 262 i

x_{1, 2} = \frac{- 4 \pm 2 62 i}{2 \cdot 6}

解を分離する

x_{1} = \frac{- 4 + 2 62 i}{2 \cdot 6}, x_{2} = \frac{- 4 - 2 62 i}{2 \cdot 6}

x = \frac{- 4 + 2 62 i}{2 \cdot 6} : - \frac{1}{3} + i \frac{62}{6}

x = \frac{- 4 - 2 62 i}{2 \cdot 6} : - \frac{1}{3} - i \frac{62}{6}

二次equationの解:

x = - \frac{1}{3} + i \frac{62}{6}, x = - \frac{1}{3} - i \frac{62}{6}

グラフ

人気の例

18 q^{2} - 32 q = 7

completesquare x^2-8x+4=0

co m pl e t es q u a re x^{2} - 8 x + 4 = 0

solvefor x,9x^2-16y^2-18x-64y-55=0

so l v e f or x, 9 x^{2} - 16 y^{2} - 18 x - 64 y - 55 = 0

2(x+3)(x+2)+5=(x+3)(x+1)+6

2 (x + 3) (x + 2) + 5 = (x + 3) (x + 1) + 6

a(b-c)x^2+b(c-a)x+c(a-b)=0

a (b - c) x^{2} + b (c - a) x + c (a - b) = 0