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人気のある代数 >

solvefor x,x^2+y^2+z^2+x+8y+m=0

解

解く

x, x^{2} + y^{2} + z^{2} + x + 8 y + m = 0

解

x = \frac{- 1 + 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}, x = \frac{- 1 - 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}

解答ステップ

x^{2} + y^{2} + z^{2} + x + 8 y + m = 0

標準的な形式で書く

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

x^{2} + x + y^{2} + z^{2} + 8 y + m = 0

解くとthe二次式

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1}

簡素化

1^{2} - 4 \cdot 1 \cdot (y^{2} + z^{2} + 8 y + m) : 1 - 4 (y^{2} + z^{2} + 8 y + m)

x_{1, 2} = \frac{- 1 \pm 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1}

解を分離する

x_{1} = \frac{- 1 + 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1}, x_{2} = \frac{- 1 - 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1}

x = \frac{- 1 + 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1} : \frac{- 1 + 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}

x = \frac{- 1 - 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2 \cdot 1} : \frac{- 1 - 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}

二次equationの解:

x = \frac{- 1 + 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}, x = \frac{- 1 - 1 - 4 ( y ^{2} + z ^{2} + 8 y + m )}{2}

グラフ

人気の例

- y^{2} + 10 y = 24

x^{2} + 6 x + 3 = 80

4 x^{2} + 28 x + 49 = 5

10 x^{2} + 10 x = 0

34.04=0.9*2*0.85*210*x*0.2(40-x/2)

34.04 = 0.9 \cdot 2 \cdot 0.85 \cdot 210 \cdot x \cdot 0.2 (40 - \frac{x}{2})