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受欢迎的代数 >

solvefor x,s(x)=x^2-6x+8

解答

求解

x, s (x) = x^{2} - 6 x + 8

解答

x = \frac{6 + s + s ^{2} + 12 s + 4}{2}, x = \frac{6 + s - s ^{2} + 12 s + 4}{2}

求解步骤

s (x) = x^{2} - 6 x + 8

整理后得

x s = x^{2} - 6 x + 8

交换两边

x^{2} - 6 x + 8 = x s

将

x s

para o lado esquerdo

x^{2} - 6 x + 8 - x s = 0

改写成标准形式

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

x^{2} - (6 + s) x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 - s ) \pm ( - 6 - s ) ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

化简

(- 6 - s)^{2} - 4 \cdot 1 \cdot 8 : s^{2} + 12 s + 4

x_{1, 2} = \frac{- ( - 6 - s ) \pm s ^{2} + 12 s + 4}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 6 - s ) + s ^{2} + 12 s + 4}{2 \cdot 1}, x_{2} = \frac{- ( - 6 - s ) - s ^{2} + 12 s + 4}{2 \cdot 1}

x = \frac{- ( - 6 - s ) + s ^{2} + 12 s + 4}{2 \cdot 1} : \frac{6 + s + s ^{2} + 12 s + 4}{2}

x = \frac{- ( - 6 - s ) - s ^{2} + 12 s + 4}{2 \cdot 1} : \frac{6 + s - s ^{2} + 12 s + 4}{2}

二次方程组的解是:

x = \frac{6 + s + s ^{2} + 12 s + 4}{2}, x = \frac{6 + s - s ^{2} + 12 s + 4}{2}

作图

流行的例子

(x - 2)^{2} = 4 (x + 3)

2 x^{2} - 7 x + 39 = 0

28 - x^{3} = (4 - x)^{3}

4 (\frac{1}{3})^{2} + y^{2} = 4

1 = x^{2} - 3