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受欢迎的代数 >

3x^2+2x=1

解答

3 x^{2} + 2 x = 1

解答

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

+1

十进制

x = 0.33333 \dots, x = - 1

求解步骤

3 x^{2} + 2 x = 1

将

1

para o lado esquerdo

3 x^{2} + 2 x - 1 = 0

使用求根公式求解

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

2^{2} - 4 \cdot 3 (- 1) = 4

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

将解分隔开

x_{1} = \frac{- 2 + 4}{2 \cdot 3}, x_{2} = \frac{- 2 - 4}{2 \cdot 3}

x = \frac{- 2 + 4}{2 \cdot 3} : \frac{1}{3}

x = \frac{- 2 - 4}{2 \cdot 3} : - 1

二次方程组的解是:

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

作图

流行的例子

25 x^{2} + 90 x + 82 = 0

solvefor x,z=x^2

so l v e f or x, z = x^{2}

completesquare x^2-20x+12=0

co m pl e t es q u a re x^{2} - 20 x + 12 = 0

17 - 3 x^{2} = - 10

2 (x + 15)^{2} + 20 = 0