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受欢迎的代数 >

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

解答

求解

x, f^{1} (x) = x^{2} + 2

解答

x = \frac{f + f ^{2} - 8}{2}, x = \frac{f - f ^{2} - 8}{2}

求解步骤

f^{1} (x) = x^{2} + 2

整理后得

x f = x^{2} + 2

交换两边

x^{2} + 2 = x f

将

x f

para o lado esquerdo

x^{2} + 2 - x f = 0

改写成标准形式

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

x^{2} - f x + 2 = 0

使用求根公式求解

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

化简

(- f)^{2} - 4 \cdot 1 \cdot 2 : f^{2} - 8

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

将解分隔开

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

x = \frac{- ( - f ) + f ^{2} - 8}{2 \cdot 1} : \frac{f + f ^{2} - 8}{2}

x = \frac{- ( - f ) - f ^{2} - 8}{2 \cdot 1} : \frac{f - f ^{2} - 8}{2}

二次方程组的解是:

x = \frac{f + f ^{2} - 8}{2}, x = \frac{f - f ^{2} - 8}{2}

作图

流行的例子

2 y (y + 5) - 5 = 0

y^{2} + 18 y - 40 = 0

completesquare x^2+6x=55

co m pl e t es q u a re x^{2} + 6 x = 55

k (k - 1) = 12

y^{2} + 2 y - 48 = 0