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受欢迎的代数 >

7x^2+5x=4x^2-x

解答

7 x^{2} + 5 x = 4 x^{2} - x

解答

x = 0, x = - 2

求解步骤

7 x^{2} + 5 x = 4 x^{2} - x

将

x

para o lado esquerdo

7 x^{2} + 6 x = 4 x^{2}

将

4 x^{2}

para o lado esquerdo

3 x^{2} + 6 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 3 \cdot 0}{2 \cdot 3}

6^{2} - 4 \cdot 3 \cdot 0 = 6

x_{1, 2} = \frac{- 6 \pm 6}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 6 + 6}{2 \cdot 3}, x_{2} = \frac{- 6 - 6}{2 \cdot 3}

x = \frac{- 6 + 6}{2 \cdot 3} : 0

x = \frac{- 6 - 6}{2 \cdot 3} : - 2

二次方程组的解是:

x = 0, x = - 2

作图

流行的例子

4(5x+8)^2-23=13

4 (5 x + 8)^{2} - 23 = 13

16(x^2-5)+14=15

16 (x^{2} - 5) + 14 = 15

5(3x-3)^2-44=-29

5 (3 x - 3)^{2} - 44 = - 29

3 = 6 x^{2} + 6 x - 9

3 x^{2} - 4 x - 4 = 3