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人気のある代数 >

solvefor x,zx^2-x+5-3z=0

解

解く

x, z x^{2} - x + 5 - 3 z = 0

解

x = \frac{1 + 1 - 4 z ( 5 - 3 z )}{2 z}, x = \frac{1 - 1 - 4 z ( 5 - 3 z )}{2 z}; z \neq = 0

解答ステップ

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

解くとthe二次式

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 z ( 5 - 3 z )}{2 z}

簡素化

(- 1)^{2} - 4 z (5 - 3 z) : 1 - 4 z (5 - 3 z)

x_{1, 2} = \frac{- ( - 1 ) \pm 1 - 4 z ( 5 - 3 z )}{2 z}; z \neq = 0

解を分離する

x_{1} = \frac{- ( - 1 ) + 1 - 4 z ( 5 - 3 z )}{2 z}, x_{2} = \frac{- ( - 1 ) - 1 - 4 z ( 5 - 3 z )}{2 z}

x = \frac{- ( - 1 ) + 1 - 4 z ( 5 - 3 z )}{2 z} : \frac{1 + 1 - 4 z ( 5 - 3 z )}{2 z}

x = \frac{- ( - 1 ) - 1 - 4 z ( 5 - 3 z )}{2 z} : \frac{1 - 1 - 4 z ( 5 - 3 z )}{2 z}

二次equationの解:

x = \frac{1 + 1 - 4 z ( 5 - 3 z )}{2 z}, x = \frac{1 - 1 - 4 z ( 5 - 3 z )}{2 z}; z \neq = 0

グラフ

人気の例

m^{2} - 7 m + 2 = 0

- m^{2} - m + 2 = 0

x^2+5/3 x-2/3 =0

x^{2} + \frac{5}{3} x - \frac{2}{3} = 0

121 x^{2} + 64 = 0

x^{2} + 2 x - 3 = x + 3