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受欢迎的代数 >

solvefor x,-5kx^2+8x=4(x+2)

解答

x, - 5 k x^{2} + 8 x = 4 (x + 2)

解答

x = - \frac{2 ( - 10 k + 1 - 1 )}{5 k}, x = \frac{2 ( - 10 k + 1 + 1 )}{5 k}; k \neq = 0

求解步骤

- 5 k x^{2} + 8 x = 4 (x + 2)

展开

4 (x + 2) : 4 x + 8

- 5 k x^{2} + 8 x = 4 x + 8

将

8

para o lado esquerdo

- 5 k x^{2} + 8 x - 8 = 4 x

将

4 x

para o lado esquerdo

- 5 k x^{2} + 4 x - 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 5 k ) ( - 8 )}{2 ( - 5 k )}

化简

4^{2} - 4 (- 5 k) (- 8) : 4 1 - 10 k

x_{1, 2} = \frac{- 4 \pm 4 1 - 10 k}{2 ( - 5 k )}; k \neq = 0

将解分隔开

x_{1} = \frac{- 4 + 4 1 - 10 k}{2 ( - 5 k )}, x_{2} = \frac{- 4 - 4 1 - 10 k}{2 ( - 5 k )}

x = \frac{- 4 + 4 1 - 10 k}{2 ( - 5 k )} : - \frac{2 ( - 10 k + 1 - 1 )}{5 k}

x = \frac{- 4 - 4 1 - 10 k}{2 ( - 5 k )} : \frac{2 ( - 10 k + 1 + 1 )}{5 k}

二次方程组的解是:

x = - \frac{2 ( - 10 k + 1 - 1 )}{5 k}, x = \frac{2 ( - 10 k + 1 + 1 )}{5 k}; k \neq = 0

作图

流行的例子

completesquare x^2+10x+18

co m pl e t es q u a re x^{2} + 10 x + 18

w^{2} + 16 w + 36 = 0

quadraticformula x^2-5x-3=0

q u a d r a t i c f or m u l a x^{2} - 5 x - 3 = 0

3 (5 x - 10)^{2} = 27

8 x^{2} + 2 x - 6 = 0