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人気のある代数 >

m(x)=3x^2+x-5m(1/2)

解

m (x) = 3 x^{2} + x - 5 m (\frac{1}{2})

解

x = \frac{- 1 + m + m ^{2} + 28 m + 1}{6}, x = \frac{- 1 + m - m ^{2} + 28 m + 1}{6}

解答ステップ

m (x) = 3 x^{2} + x - 5 m (\frac{1}{2})

拡張

3 x^{2} + x - 5 m (\frac{1}{2}) : 3 x^{2} + x - \frac{5}{2} m

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

辺を交換する

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

m x

を左側に移動します

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

標準的な形式で書く

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

3 x^{2} + (1 - m) x - \frac{5 m}{2} = 0

解くとthe二次式

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

簡素化

(1 - m)^{2} - 4 \cdot 3 (- \frac{5 m}{2}) : m^{2} + 28 m + 1

x_{1, 2} = \frac{- ( 1 - m ) \pm m ^{2} + 28 m + 1}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( 1 - m ) + m ^{2} + 28 m + 1}{2 \cdot 3}, x_{2} = \frac{- ( 1 - m ) - m ^{2} + 28 m + 1}{2 \cdot 3}

x = \frac{- ( 1 - m ) + m ^{2} + 28 m + 1}{2 \cdot 3} : \frac{- 1 + m + m ^{2} + 28 m + 1}{6}

x = \frac{- ( 1 - m ) - m ^{2} + 28 m + 1}{2 \cdot 3} : \frac{- 1 + m - m ^{2} + 28 m + 1}{6}

二次equationの解:

x = \frac{- 1 + m + m ^{2} + 28 m + 1}{6}, x = \frac{- 1 + m - m ^{2} + 28 m + 1}{6}

グラフ

人気の例

x^2+4x+4=x^2+x^2+2x+1

x^{2} + 4 x + 4 = x^{2} + x^{2} + 2 x + 1

因数 4x^2=5-8x

f a c t or 4 x^{2} = 5 - 8 x

3 x^{2} - 2 x + 12 = 0

9 x + 9 x^{2} - 4 = 0

(3 x + 5)^{2} = 0