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人気のある代数 >

3x^2+bx+c=0

解

3 x^{2} + b x + c = 0

解

x = \frac{- b + b ^{2} - 12 c}{6}, x = \frac{- b - b ^{2} - 12 c}{6}

解答ステップ

3 x^{2} + b x + c = 0

解くとthe二次式

x_{1, 2} = \frac{- b \pm b ^{2} - 4 \cdot 3 c}{2 \cdot 3}

簡素化

b^{2} - 4 \cdot 3 c : b^{2} - 12 c

x_{1, 2} = \frac{- b \pm b ^{2} - 12 c}{2 \cdot 3}

解を分離する

x_{1} = \frac{- b + b ^{2} - 12 c}{2 \cdot 3}, x_{2} = \frac{- b - b ^{2} - 12 c}{2 \cdot 3}

x = \frac{- b + b ^{2} - 12 c}{2 \cdot 3} : \frac{- b + b ^{2} - 12 c}{6}

x = \frac{- b - b ^{2} - 12 c}{2 \cdot 3} : \frac{- b - b ^{2} - 12 c}{6}

二次equationの解:

x = \frac{- b + b ^{2} - 12 c}{6}, x = \frac{- b - b ^{2} - 12 c}{6}

グラフ

人気の例

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

5 v^{2} + 10 v = 0

solvefor v,e=(mv^2)/2+mgh

so l v e f or v, e = \frac{m v ^{2}}{2} + m g h

7 x^{2} + 9 x - 148 = 0

solvefor x,(5x+y)^2+9x-2y=4x(-8y+3)^3

so l v e f or x, (5 x + y)^{2} + 9 x - 2 y = 4 x (- 8 y + 3)^{3}