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人気のある代数 >

a(x)=-8/7 x^2+240x

解

a (x) = - \frac{8}{7} x^{2} + 240 x

解

x = 0, x = \frac{1680 - 7 a}{8}

解答ステップ

a (x) = - \frac{8}{7} x^{2} + 240 x

以下で両辺を乗じる:

7

7 a x = - 8 x^{2} + 1680 x

辺を交換する

- 8 x^{2} + 1680 x = 7 a x

7 a x

を左側に移動します

- 8 x^{2} + 1680 x - 7 a x = 0

標準的な形式で書く

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

- 8 x^{2} + (1680 - 7 a) x = 0

解くとthe二次式

x_{1, 2} = \frac{- ( 1680 - 7 a ) \pm ( 1680 - 7 a ) ^{2} - 4 ( - 8 ) \cdot 0}{2 ( - 8 )}

簡素化

(1680 - 7 a)^{2} - 4 (- 8) \cdot 0 : - 7 a + 1680

x_{1, 2} = \frac{- ( 1680 - 7 a ) \pm ( - 7 a + 1680 )}{2 ( - 8 )}

解を分離する

x_{1} = \frac{- ( 1680 - 7 a ) - 7 a + 1680}{2 ( - 8 )}, x_{2} = \frac{- ( 1680 - 7 a ) - ( - 7 a + 1680 )}{2 ( - 8 )}

x = \frac{- ( 1680 - 7 a ) - 7 a + 1680}{2 ( - 8 )} : 0

x = \frac{- ( 1680 - 7 a ) - ( - 7 a + 1680 )}{2 ( - 8 )} : \frac{1680 - 7 a}{8}

二次equationの解:

x = 0, x = \frac{1680 - 7 a}{8}

グラフ

人気の例

7 x^{2} + 32 x - 15 = 0

- (x + 1) (3 x + 2) = 0

3 y^{2} + 2 y - 5 = 0

2.6=-0.1d^2+d+0.5

2.6 = - 0.1 d^{2} + d + 0.5

solvefor x,x^2-12x+36=90

so l v e f or x, x^{2} - 12 x + 36 = 90