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受欢迎的代数 >

solvefor x,s(x)=-2x^2-12x-17

解答

求解

x, s (x) = - 2 x^{2} - 12 x - 17

解答

x = - \frac{12 + s + s ^{2} + 24 s + 8}{4}, x = - \frac{12 + s - s ^{2} + 24 s + 8}{4}

求解步骤

s (x) = - 2 x^{2} - 12 x - 17

整理后得

x s = - 2 x^{2} - 12 x - 17

交换两边

- 2 x^{2} - 12 x - 17 = x s

将

x s

para o lado esquerdo

- 2 x^{2} - 12 x - 17 - x s = 0

改写成标准形式

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

- 2 x^{2} - (12 + s) x - 17 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 12 - s ) \pm ( - 12 - s ) ^{2} - 4 ( - 2 ) ( - 17 )}{2 ( - 2 )}

化简

(- 12 - s)^{2} - 4 (- 2) (- 17) : s^{2} + 24 s + 8

x_{1, 2} = \frac{- ( - 12 - s ) \pm s ^{2} + 24 s + 8}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 12 - s ) + s ^{2} + 24 s + 8}{2 ( - 2 )}, x_{2} = \frac{- ( - 12 - s ) - s ^{2} + 24 s + 8}{2 ( - 2 )}

x = \frac{- ( - 12 - s ) + s ^{2} + 24 s + 8}{2 ( - 2 )} : - \frac{12 + s + s ^{2} + 24 s + 8}{4}

x = \frac{- ( - 12 - s ) - s ^{2} + 24 s + 8}{2 ( - 2 )} : - \frac{12 + s - s ^{2} + 24 s + 8}{4}

二次方程组的解是:

x = - \frac{12 + s + s ^{2} + 24 s + 8}{4}, x = - \frac{12 + s - s ^{2} + 24 s + 8}{4}

作图

流行的例子

10-6(8x-2)=9x(3+4x)

10 - 6 (8 x - 2) = 9 x (3 + 4 x)

solvefor x,x^2+y^2+z^6=1

so l v e f or x, x^{2} + y^{2} + z^{6} = 1

(x - 1)^{2} = 3 x - 5

20.03=22.4*1000x((0.113-x)/2)

20.03 = 22.4 \cdot 1000 x (\frac{0.113 - x}{2})

(3^2)/(25)+(y^2)/(16)=1

\frac{3 ^{2}}{25} + \frac{y ^{2}}{16} = 1