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人気のある代数 >

solvefor x,f(a+h)=2x^2-8x+6

解

解く

x, f (a + h) = 2 x^{2} - 8 x + 6

解

x = \frac{8 + 8 h f + 8 a f + 16}{4}, x = \frac{8 - 8 h f + 8 a f + 16}{4}

解答ステップ

f (a + h) = 2 x^{2} - 8 x + 6

拡張

f (a + h) : a f + h f

a f + h f = 2 x^{2} - 8 x + 6

辺を交換する

2 x^{2} - 8 x + 6 = a f + h f

h f

を左側に移動します

2 x^{2} - 8 x + 6 - h f = a f

a f

を左側に移動します

2 x^{2} - 8 x + 6 - h f - a f = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 2 ( 6 - h f - a f )}{2 \cdot 2}

簡素化

(- 8)^{2} - 4 \cdot 2 (6 - h f - a f) : 8 h f + 8 a f + 16

x_{1, 2} = \frac{- ( - 8 ) \pm 8 h f + 8 a f + 16}{2 \cdot 2}

解を分離する

x_{1} = \frac{- ( - 8 ) + 8 h f + 8 a f + 16}{2 \cdot 2}, x_{2} = \frac{- ( - 8 ) - 8 h f + 8 a f + 16}{2 \cdot 2}

x = \frac{- ( - 8 ) + 8 h f + 8 a f + 16}{2 \cdot 2} : \frac{8 + 8 h f + 8 a f + 16}{4}

x = \frac{- ( - 8 ) - 8 h f + 8 a f + 16}{2 \cdot 2} : \frac{8 - 8 h f + 8 a f + 16}{4}

二次equationの解:

x = \frac{8 + 8 h f + 8 a f + 16}{4}, x = \frac{8 - 8 h f + 8 a f + 16}{4}

グラフ

人気の例

solvefor x,x^2+2x+y^2+5=0

so l v e f or x, x^{2} + 2 x + y^{2} + 5 = 0

completesquare x^2+5x=24

co m pl e t es q u a re x^{2} + 5 x = 24

5 x^{2} - 2 = 4 x

x (x + 8) = x + 8

x^2+(x+1)^2+(x+2)^2=(x+3)^2+(x+4)^2

x^{2} + (x + 1)^{2} + (x + 2)^{2} = (x + 3)^{2} + (x + 4)^{2}