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受欢迎的代数 >

3x^2-2x=6

解答

3 x^{2} - 2 x = 6

解答

x = \frac{1 + 19}{3}, x = \frac{1 - 19}{3}

+1

十进制

x = 1.78629 \dots, x = - 1.11963 \dots

求解步骤

3 x^{2} - 2 x = 6

将

6

para o lado esquerdo

3 x^{2} - 2 x - 6 = 0

使用求根公式求解

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

(- 2)^{2} - 4 \cdot 3 (- 6) = 219

x_{1, 2} = \frac{- ( - 2 ) \pm 2 19}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 19}{2 \cdot 3}, x_{2} = \frac{- ( - 2 ) - 2 19}{2 \cdot 3}

x = \frac{- ( - 2 ) + 2 19}{2 \cdot 3} : \frac{1 + 19}{3}

x = \frac{- ( - 2 ) - 2 19}{2 \cdot 3} : \frac{1 - 19}{3}

二次方程组的解是:

x = \frac{1 + 19}{3}, x = \frac{1 - 19}{3}

作图

流行的例子

y^{2} + 5 y - 6 = 0

1/2 (x+4)^2-3=29

\frac{1}{2} (x + 4)^{2} - 3 = 29

x^{2} - 12 x - 12 = - 39

solvefor x,x^2-2x-1=0

so l v e f or x, x^{2} - 2 x - 1 = 0

3 x^{2} = 1.47