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受欢迎的代数 >

11=3x^2+2x

解答

11 = 3 x^{2} + 2 x

解答

x = \frac{- 1 + 34}{3}, x = - \frac{1 + 34}{3}

+1

十进制

x = 1.61031 \dots, x = - 2.27698 \dots

求解步骤

11 = 3 x^{2} + 2 x

交换两边

3 x^{2} + 2 x = 11

将

11

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 3 ( - 11 )}{2 \cdot 3}

2^{2} - 4 \cdot 3 (- 11) = 234

x_{1, 2} = \frac{- 2 \pm 2 34}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 2 + 2 34}{2 \cdot 3}, x_{2} = \frac{- 2 - 2 34}{2 \cdot 3}

x = \frac{- 2 + 2 34}{2 \cdot 3} : \frac{- 1 + 34}{3}

x = \frac{- 2 - 2 34}{2 \cdot 3} : - \frac{1 + 34}{3}

二次方程组的解是:

x = \frac{- 1 + 34}{3}, x = - \frac{1 + 34}{3}

作图

流行的例子

4 y^{2} - 5 y = 6

3(x-4)(x-2)+(x-1)^2=0

3 (x - 4) (x - 2) + (x - 1)^{2} = 0

3 x^{2} + 6 x - 5 = 4

solvefor x,2x^2-kx+4=0

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

5 x^{2} = 315