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人気のある代数 >

x^2-x-b=0

解

x^{2} - x - b = 0

解

x = \frac{1 + 1 + 4 b}{2}, x = \frac{1 - 1 + 4 b}{2}

解答ステップ

x^{2} - x - b = 0

解くとthe二次式

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

簡素化

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

x_{1, 2} = \frac{- ( - 1 ) \pm 1 + 4 b}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 1 ) + 1 + 4 b}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 1 + 4 b}{2 \cdot 1}

x = \frac{- ( - 1 ) + 1 + 4 b}{2 \cdot 1} : \frac{1 + 1 + 4 b}{2}

x = \frac{- ( - 1 ) - 1 + 4 b}{2 \cdot 1} : \frac{1 - 1 + 4 b}{2}

二次equationの解:

x = \frac{1 + 1 + 4 b}{2}, x = \frac{1 - 1 + 4 b}{2}

グラフ

人気の例

solvefor x,1^2+x^2=c*p^2

so l v e f or x, 1^{2} + x^{2} = c \cdot p^{2}

solvefor x,5x^2-7xy-3y^2=0

so l v e f or x, 5 x^{2} - 7 x y - 3 y^{2} = 0

solvefor x,f(x+1)=(x+1)^2-1

so l v e f or x, f (x + 1) = (x + 1)^{2} - 1

solvefor x,x^2+k(4x+k-1)+2=0

so l v e f or x, x^{2} + k (4 x + k - 1) + 2 = 0

x^{2} = x + 1, x^{4}