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受欢迎的代数 >

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

解答

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

解答

x = \frac{9}{2}, x = 1

+1

十进制

x = 4.5, x = 1

求解步骤

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

展开

(x - 3)^{2} : x^{2} - 6 x + 9

- x^{2} + 5 x = x^{2} - 6 x + 9

交换两边

x^{2} - 6 x + 9 = - x^{2} + 5 x

将

5 x

para o lado esquerdo

x^{2} - 11 x + 9 = - x^{2}

将

x^{2}

para o lado esquerdo

2 x^{2} - 11 x + 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 \cdot 9}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 \cdot 9 = 7

x_{1, 2} = \frac{- ( - 11 ) \pm 7}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 7}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 7}{2 \cdot 2}

x = \frac{- ( - 11 ) + 7}{2 \cdot 2} : \frac{9}{2}

x = \frac{- ( - 11 ) - 7}{2 \cdot 2} : 1

二次方程组的解是:

x = \frac{9}{2}, x = 1

作图

流行的例子

solvefor x,sqrt(y^3)+y=3x^2+5x

so l v e f or x, y^{3} + y = 3 x^{2} + 5 x

6 a^{2} + a - 15 = 0

-6x^2-235=-48x+11

- 6 x^{2} - 235 = - 48 x + 11

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

x^{2} - 3 x = 7 x - 30