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人気のある代数 >

solvefor x,fx=3x^2+5x-2

解

解く

x, f x = 3 x^{2} + 5 x - 2

解

x = \frac{- 5 + f + f ^{2} - 10 f + 49}{6}, x = \frac{- 5 + f - f ^{2} - 10 f + 49}{6}

解答ステップ

f x = 3 x^{2} + 5 x - 2

辺を交換する

3 x^{2} + 5 x - 2 = f x

f x

を左側に移動します

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

標準的な形式で書く

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

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

解くとthe二次式

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

簡素化

(5 - f)^{2} - 4 \cdot 3 (- 2) : f^{2} - 10 f + 49

x_{1, 2} = \frac{- ( 5 - f ) \pm f ^{2} - 10 f + 49}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( 5 - f ) + f ^{2} - 10 f + 49}{2 \cdot 3}, x_{2} = \frac{- ( 5 - f ) - f ^{2} - 10 f + 49}{2 \cdot 3}

x = \frac{- ( 5 - f ) + f ^{2} - 10 f + 49}{2 \cdot 3} : \frac{- 5 + f + f ^{2} - 10 f + 49}{6}

x = \frac{- ( 5 - f ) - f ^{2} - 10 f + 49}{2 \cdot 3} : \frac{- 5 + f - f ^{2} - 10 f + 49}{6}

二次equationの解:

x = \frac{- 5 + f + f ^{2} - 10 f + 49}{6}, x = \frac{- 5 + f - f ^{2} - 10 f + 49}{6}

グラフ

人気の例

sqrt(5)*x^2+8x-4sqrt(5)=0

5 \cdot x^{2} + 8 x - 45 = 0

solvefor t,m*ru*vs=2-4t+t^2

so l v e f or t, m \cdot r u \cdot v s = 2 - 4 t + t^{2}

x^2-(sqrt(3)+1)*x+sqrt(3)=0

x^{2} - (3 + 1) \cdot x + 3 = 0

solvefor z,p^2z^2+q^2=1

so l v e f or z, p^{2} z^{2} + q^{2} = 1

(3 x)^{2} = 9