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人気のある Geometry >

solvefor x,ar(x)c=-2x^2+1

解

解く

x, a r (x) c = - 2 x^{2} + 1

解

x = - \frac{a cr + a ^{2} c ^{2} r ^{2} + 8}{4}, x = - \frac{a cr - a ^{2} c ^{2} r ^{2} + 8}{4}

解答ステップ

a r (x) c = - 2 x^{2} + 1

改良

a c x r = - 2 x^{2} + 1

辺を交換する

- 2 x^{2} + 1 = a c x r

a c x r

を左側に移動します

- 2 x^{2} + 1 - a c x r = 0

標準的な形式で書く

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

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

解くとthe二次式

x_{1, 2} = \frac{- ( - a cr ) \pm ( - a cr ) ^{2} - 4 ( - 2 ) \cdot 1}{2 ( - 2 )}

簡素化

(- a cr)^{2} - 4 (- 2) \cdot 1 : a^{2} c^{2} r^{2} + 8

x_{1, 2} = \frac{- ( - a cr ) \pm a ^{2} c ^{2} r ^{2} + 8}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - a cr ) + a ^{2} c ^{2} r ^{2} + 8}{2 ( - 2 )}, x_{2} = \frac{- ( - a cr ) - a ^{2} c ^{2} r ^{2} + 8}{2 ( - 2 )}

x = \frac{- ( - a cr ) + a ^{2} c ^{2} r ^{2} + 8}{2 ( - 2 )} : - \frac{a cr + a ^{2} c ^{2} r ^{2} + 8}{4}

x = \frac{- ( - a cr ) - a ^{2} c ^{2} r ^{2} + 8}{2 ( - 2 )} : - \frac{a cr - a ^{2} c ^{2} r ^{2} + 8}{4}

二次equationの解:

x = - \frac{a cr + a ^{2} c ^{2} r ^{2} + 8}{4}, x = - \frac{a cr - a ^{2} c ^{2} r ^{2} + 8}{4}

グラフ

人気の例

2x^2+4x^2-3x+9y+24=0

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