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受欢迎的代数 >

solvefor x,s(x)=(x^2-2x-1)-(-2x^2-7x+12)

解答

求解

x, s (x) = (x^{2} - 2 x - 1) - (- 2 x^{2} - 7 x + 12)

解答

x = \frac{- 5 + s + s ^{2} - 10 s + 181}{6}, x = \frac{- 5 + s - s ^{2} - 10 s + 181}{6}

求解步骤

s (x) = (x^{2} - 2 x - 1) - (- 2 x^{2} - 7 x + 12)

展开

(x^{2} - 2 x - 1) - (- 2 x^{2} - 7 x + 12) : 3 x^{2} + 5 x - 13

x s = 3 x^{2} + 5 x - 13

交换两边

3 x^{2} + 5 x - 13 = x s

将

x s

para o lado esquerdo

3 x^{2} + 5 x - 13 - x s = 0

改写成标准形式

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

3 x^{2} + (5 - s) x - 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 5 - s ) \pm ( 5 - s ) ^{2} - 4 \cdot 3 ( - 13 )}{2 \cdot 3}

化简

(5 - s)^{2} - 4 \cdot 3 (- 13) : s^{2} - 10 s + 181

x_{1, 2} = \frac{- ( 5 - s ) \pm s ^{2} - 10 s + 181}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( 5 - s ) + s ^{2} - 10 s + 181}{2 \cdot 3}, x_{2} = \frac{- ( 5 - s ) - s ^{2} - 10 s + 181}{2 \cdot 3}

x = \frac{- ( 5 - s ) + s ^{2} - 10 s + 181}{2 \cdot 3} : \frac{- 5 + s + s ^{2} - 10 s + 181}{6}

x = \frac{- ( 5 - s ) - s ^{2} - 10 s + 181}{2 \cdot 3} : \frac{- 5 + s - s ^{2} - 10 s + 181}{6}

二次方程组的解是:

x = \frac{- 5 + s + s ^{2} - 10 s + 181}{6}, x = \frac{- 5 + s - s ^{2} - 10 s + 181}{6}

作图

流行的例子

solvefor x,x^2+5=0

so l v e f or x, x^{2} + 5 = 0

8 x^{2} - 64 x + 281 = 0

3 x^{2} - 12 x + 0 = 0

x^{2} - 10 x - 48 = 0

completesquare 28=28T^2-179T+89

co m pl e t es q u a re 28 = 28 T^{2} - 179 T + 89