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受欢迎的代数 >

solvefor x,x^2+5x-(p^2+p-6)=0

解答

求解

x, x^{2} + 5 x - (p^{2} + p - 6) = 0

解答

x = p - 2, x = - p - 3

求解步骤

x^{2} + 5 x - (p^{2} + p - 6) = 0

展开

x^{2} + 5 x - (p^{2} + p - 6) : x^{2} + 5 x - p^{2} - p + 6

x^{2} + 5 x - p^{2} - p + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - p ^{2} - p + 6 )}{2 \cdot 1}

化简

5^{2} - 4 \cdot 1 \cdot (- p^{2} - p + 6) : 2 p + 1

x_{1, 2} = \frac{- 5 \pm ( 2 p + 1 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 5 + 2 p + 1}{2 \cdot 1}, x_{2} = \frac{- 5 - ( 2 p + 1 )}{2 \cdot 1}

x = \frac{- 5 + 2 p + 1}{2 \cdot 1} : p - 2

x = \frac{- 5 - ( 2 p + 1 )}{2 \cdot 1} : - p - 3

二次方程组的解是:

x = p - 2, x = - p - 3

作图

流行的例子

-17-8x^2=4x-3x^2

- 17 - 8 x^{2} = 4 x - 3 x^{2}

- x^{2} - 9 x + 22 = 0

-0.2(q-25)^2+165=-2q+140

- 0.2 (q - 25)^{2} + 165 = - 2 q + 140

solvefor x,x^2+y^3=3xy+2

so l v e f or x, x^{2} + y^{3} = 3 x y + 2

4200=x^2-160x+10000

4200 = x^{2} - 160 x + 10000