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受欢迎的代数 >

solvefor x,x^2+k(4x+17)=0

解答

求解

x, x^{2} + k (4 x + 17) = 0

解答

x = - 2 k + k (4 k - 17), x = - 2 k - k (4 k - 17)

求解步骤

x^{2} + k (4 x + 17) = 0

展开

x^{2} + k (4 x + 17) : x^{2} + 4 x k + 17 k

x^{2} + 4 x k + 17 k = 0

改写成标准形式

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

x^{2} + 4 k x + 17 k = 0

使用求根公式求解

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

化简

(4 k)^{2} - 4 \cdot 1 \cdot 17 k : 2 k (4 k - 17)

x_{1, 2} = \frac{- 4 k \pm 2 k ( 4 k - 17 )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 4 k + 2 k ( 4 k - 17 )}{2 \cdot 1}, x_{2} = \frac{- 4 k - 2 k ( 4 k - 17 )}{2 \cdot 1}

x = \frac{- 4 k + 2 k ( 4 k - 17 )}{2 \cdot 1} : - 2 k + k (4 k - 17)

x = \frac{- 4 k - 2 k ( 4 k - 17 )}{2 \cdot 1} : - 2 k - k (4 k - 17)

二次方程组的解是:

x = - 2 k + k (4 k - 17), x = - 2 k - k (4 k - 17)

作图

流行的例子

solvefor x,x^2-2x+3=0

so l v e f or x, x^{2} - 2 x + 3 = 0

(x + 1)^{2} = e^{2}

4 x^{2} + 8 x = 20

solvefor x,x^2-y^2+z^2-4x-2y-2z+4=0

so l v e f or x, x^{2} - y^{2} + z^{2} - 4 x - 2 y - 2 z + 4 = 0

completesquare 4x^2+3x+2

co m pl e t es q u a re 4 x^{2} + 3 x + 2