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人気のある代数 >

solvefor x,f=3x^2-5x-p

解

解く

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

解

x = \frac{5 + 25 - 12 ( - p - f )}{6}, x = \frac{5 - 25 - 12 ( - p - f )}{6}

解答ステップ

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

辺を交換する

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

f

を左側に移動します

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

解くとthe二次式

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

簡素化

(- 5)^{2} - 4 \cdot 3 (- p - f) : 25 - 12 (- p - f)

x_{1, 2} = \frac{- ( - 5 ) \pm 25 - 12 ( - p - f )}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 5 ) + 25 - 12 ( - p - f )}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 25 - 12 ( - p - f )}{2 \cdot 3}

x = \frac{- ( - 5 ) + 25 - 12 ( - p - f )}{2 \cdot 3} : \frac{5 + 25 - 12 ( - p - f )}{6}

x = \frac{- ( - 5 ) - 25 - 12 ( - p - f )}{2 \cdot 3} : \frac{5 - 25 - 12 ( - p - f )}{6}

二次equationの解:

x = \frac{5 + 25 - 12 ( - p - f )}{6}, x = \frac{5 - 25 - 12 ( - p - f )}{6}

グラフ

人気の例

x^{2} + 62.1 x + 1 = 0

x^{2} - a x - 1 = 0

(7 x - 1)^{2} = 1

completesquare 4x^2-24x+27

co m pl e t es q u a re 4 x^{2} - 24 x + 27

completesquare 4x^2+8x-9

co m pl e t es q u a re 4 x^{2} + 8 x - 9