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受欢迎的代数 >

x(4-x)+5x=x^2+3x

解答

x (4 - x) + 5 x = x^{2} + 3 x

解答

x = 0, x = 3

求解步骤

x (4 - x) + 5 x = x^{2} + 3 x

展开

x (4 - x) + 5 x : - x^{2} + 9 x

- x^{2} + 9 x = x^{2} + 3 x

将

3 x

para o lado esquerdo

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

将

x^{2}

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 2 ) \cdot 0}{2 ( - 2 )}

6^{2} - 4 (- 2) \cdot 0 = 6

x_{1, 2} = \frac{- 6 \pm 6}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- 6 + 6}{2 ( - 2 )}, x_{2} = \frac{- 6 - 6}{2 ( - 2 )}

x = \frac{- 6 + 6}{2 ( - 2 )} : 0

x = \frac{- 6 - 6}{2 ( - 2 )} : 3

二次方程组的解是:

x = 0, x = 3

作图

流行的例子

6 x^{2} - 29 x + 35 = 0

14.6689 = x^{2} + x

(x-2)^3-x^3+6x+7=0

(x - 2)^{3} - x^{3} + 6 x + 7 = 0

solvefor x,x^2+y^2+z^2-2x+4y+5=0

so l v e f or x, x^{2} + y^{2} + z^{2} - 2 x + 4 y + 5 = 0

15 x^{2} + 15 = 34 x