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人気のある代数 >

solvefor x,4x^2+4y^2-16x+40+67=0

解

解く

x, 4 x^{2} + 4 y^{2} - 16 x + 40 + 67 = 0

解

x = \frac{4 + - 4 y ^{2} - 91}{2}, x = \frac{4 - - 4 y ^{2} - 91}{2}

解答ステップ

4 x^{2} + 4 y^{2} - 16 x + 40 + 67 = 0

拡張

4 x^{2} + 4 y^{2} - 16 x + 40 + 67 : 4 x^{2} - 16 x + 4 y^{2} + 107

4 x^{2} - 16 x + 4 y^{2} + 107 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 4 ( 4 y ^{2} + 107 )}{2 \cdot 4}

簡素化

(- 16)^{2} - 4 \cdot 4 (4 y^{2} + 107) : 4 - 4 y^{2} - 91

x_{1, 2} = \frac{- ( - 16 ) \pm 4 - 4 y ^{2} - 91}{2 \cdot 4}

解を分離する

x_{1} = \frac{- ( - 16 ) + 4 - 4 y ^{2} - 91}{2 \cdot 4}, x_{2} = \frac{- ( - 16 ) - 4 - 4 y ^{2} - 91}{2 \cdot 4}

x = \frac{- ( - 16 ) + 4 - 4 y ^{2} - 91}{2 \cdot 4} : \frac{4 + - 4 y ^{2} - 91}{2}

x = \frac{- ( - 16 ) - 4 - 4 y ^{2} - 91}{2 \cdot 4} : \frac{4 - - 4 y ^{2} - 91}{2}

二次equationの解:

x = \frac{4 + - 4 y ^{2} - 91}{2}, x = \frac{4 - - 4 y ^{2} - 91}{2}

グラフ

人気の例

300-2Q^1+Q^2=60

300 - 2 Q^{1} + Q^{2} = 60

6 x (4 x + 3) = 0

4 x^{2} + 12 - 72 = 0

x^{2} + 12 x + 50 = 0

(3(x-1))/5 (4(x+2))/3 = 2/7

\frac{3 ( x - 1 )}{5} \frac{4 ( x + 2 )}{3} = \frac{2}{7}