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受欢迎的代数 >

5x(x-3)+9=-2x(x-3)+7x-2

解答

5 x (x - 3) + 9 = - 2 x (x - 3) + 7 x - 2

解答

x = \frac{14 + 119}{7}, x = \frac{14 - 119}{7}

+1

十进制

x = 3.55838 \dots, x = 0.44161 \dots

求解步骤

5 x (x - 3) + 9 = - 2 x (x - 3) + 7 x - 2

展开

5 x (x - 3) + 9 : 5 x^{2} - 15 x + 9

展开

- 2 x (x - 3) + 7 x - 2 : - 2 x^{2} + 13 x - 2

5 x^{2} - 15 x + 9 = - 2 x^{2} + 13 x - 2

将

2

para o lado esquerdo

5 x^{2} - 15 x + 11 = - 2 x^{2} + 13 x

将

13 x

para o lado esquerdo

5 x^{2} - 28 x + 11 = - 2 x^{2}

将

2 x^{2}

para o lado esquerdo

7 x^{2} - 28 x + 11 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 28 ) \pm ( - 28 ) ^{2} - 4 \cdot 7 \cdot 11}{2 \cdot 7}

(- 28)^{2} - 4 \cdot 7 \cdot 11 = 2119

x_{1, 2} = \frac{- ( - 28 ) \pm 2 119}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- ( - 28 ) + 2 119}{2 \cdot 7}, x_{2} = \frac{- ( - 28 ) - 2 119}{2 \cdot 7}

x = \frac{- ( - 28 ) + 2 119}{2 \cdot 7} : \frac{14 + 119}{7}

x = \frac{- ( - 28 ) - 2 119}{2 \cdot 7} : \frac{14 - 119}{7}

二次方程组的解是:

x = \frac{14 + 119}{7}, x = \frac{14 - 119}{7}

作图

流行的例子

(x + 9)^{2} = - x - 7

6 x^{2} - 972 = 0

100 y^{2} - 20 y + 1 = 0

9 = 2 x^{2} - 5

x^{2} = a, a < 0