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人気のある代数 >

solvefor x,1-2x-x^2cos(y)=0

解

解く

x, 1 - 2 x - x^{2} cos (y) = 0

解

x = - \frac{1 + cos ( y ) + 1}{cos ( y )}, x = - \frac{1 - cos ( y ) + 1}{cos ( y )}; - cos (y) \neq = 0

解答ステップ

1 - 2 x - x^{2} cos (y) = 0

標準的な形式で書く

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

- cos (y) x^{2} - 2 x + 1 = 0

解くとthe二次式

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

簡素化

(- 2)^{2} - 4 (- cos (y)) \cdot 1 : 2 1 + cos (y)

x_{1, 2} = \frac{- ( - 2 ) \pm 2 1 + cos ( y )}{2 ( - cos ( y ) )}; - cos (y) \neq = 0

解を分離する

x_{1} = \frac{- ( - 2 ) + 2 1 + cos ( y )}{2 ( - cos ( y ) )}, x_{2} = \frac{- ( - 2 ) - 2 1 + cos ( y )}{2 ( - cos ( y ) )}

x = \frac{- ( - 2 ) + 2 1 + cos ( y )}{2 ( - cos ( y ) )} : - \frac{1 + cos ( y ) + 1}{cos ( y )}

x = \frac{- ( - 2 ) - 2 1 + cos ( y )}{2 ( - cos ( y ) )} : - \frac{1 - cos ( y ) + 1}{cos ( y )}

二次equationの解:

x = - \frac{1 + cos ( y ) + 1}{cos ( y )}, x = - \frac{1 - cos ( y ) + 1}{cos ( y )}; - cos (y) \neq = 0

グラフ

人気の例

9 z^{2} = 36

2 x^{2} + 1 x = 0

log_{10}(3)(x^2)+log_{10}(3)(x)-6=0

lo g_{10} (3) (x^{2}) + lo g_{10} (3) (x) - 6 = 0

- z^{2} + 3 z - 4 = 0

- 3 x^{2} + 36 x - 96 = 0