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受欢迎的代数 >

solvefor x,x^2+4xk+1=0

解答

x, x^{2} + 4 x k + 1 = 0

解答

x = - 2 k + 4 k^{2} - 1, x = - 2 k - 4 k^{2} - 1

求解步骤

x^{2} + 4 x k + 1 = 0

改写成标准形式

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

x^{2} + 4 k x + 1 = 0

使用求根公式求解

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

化简

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

x_{1, 2} = \frac{- 4 k \pm 2 4 k ^{2} - 1}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 k + 2 4 k ^{2} - 1}{2 \cdot 1}, x_{2} = \frac{- 4 k - 2 4 k ^{2} - 1}{2 \cdot 1}

x = \frac{- 4 k + 2 4 k ^{2} - 1}{2 \cdot 1} : - 2 k + 4 k^{2} - 1

x = \frac{- 4 k - 2 4 k ^{2} - 1}{2 \cdot 1} : - 2 k - 4 k^{2} - 1

二次方程组的解是:

x = - 2 k + 4 k^{2} - 1, x = - 2 k - 4 k^{2} - 1

作图

流行的例子

solvefor x,y^2(x^2-1)-2x=0

so l v e f or x, y^{2} (x^{2} - 1) - 2 x = 0

2 x^{2} + 20 x = - 10

n^{2} = - 144

4 x^{2} - 4 x = - 5

x^{2} - 18 x + 81 = 49