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人気のある Geometry >

solvefor x,h(x)^2+(8-x)^2=49

解

解く

x, h (x)^{2} + (8 - x)^{2} = 49

解

x = \frac{8 + - 15 h + 49}{h + 1}, x = \frac{8 - - 15 h + 49}{h + 1}; h \neq = - 1

解答ステップ

h x^{2} + (8 - x)^{2} = 49

拡張

h x^{2} + (8 - x)^{2} : x^{2} h + 64 - 16 x + x^{2}

x^{2} h + 64 - 16 x + x^{2} = 49

49

を左側に移動します

x^{2} h + x^{2} - 16 x + 15 = 0

標準的な形式で書く

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

(h + 1) x^{2} - 16 x + 15 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 ( h + 1 ) \cdot 15}{2 ( h + 1 )}

簡素化

(- 16)^{2} - 4 (h + 1) \cdot 15 : 2 - 15 h + 49

x_{1, 2} = \frac{- ( - 16 ) \pm 2 - 15 h + 49}{2 ( h + 1 )}; h \neq = - 1

解を分離する

x_{1} = \frac{- ( - 16 ) + 2 - 15 h + 49}{2 ( h + 1 )}, x_{2} = \frac{- ( - 16 ) - 2 - 15 h + 49}{2 ( h + 1 )}

x = \frac{- ( - 16 ) + 2 - 15 h + 49}{2 ( h + 1 )} : \frac{8 + - 15 h + 49}{h + 1}

x = \frac{- ( - 16 ) - 2 - 15 h + 49}{2 ( h + 1 )} : \frac{8 - - 15 h + 49}{h + 1}

二次equationの解:

x = \frac{8 + - 15 h + 49}{h + 1}, x = \frac{8 - - 15 h + 49}{h + 1}; h \neq = - 1

グラフ

人気の例

a^{2} + b^{2} = 7^{2}

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x^{2} + y^{2} - 18 x + 12 y = - 108

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x^{2} - 8 x + y^{2} + 4 y - 5 = 0

2 x^{2} + 2 y^{2} - 1 = 0

x^2-14x+y^2+8y+53=0

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