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受欢迎的代数 >

27=3x^2+12x

解答

27 = 3 x^{2} + 12 x

解答

x = - 2 + 13, x = - 2 - 13

+1

十进制

x = 1.60555 \dots, x = - 5.60555 \dots

求解步骤

27 = 3 x^{2} + 12 x

交换两边

3 x^{2} + 12 x = 27

将

27

para o lado esquerdo

3 x^{2} + 12 x - 27 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 3 ( - 27 )}{2 \cdot 3}

1 2^{2} - 4 \cdot 3 (- 27) = 613

x_{1, 2} = \frac{- 12 \pm 6 13}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 12 + 6 13}{2 \cdot 3}, x_{2} = \frac{- 12 - 6 13}{2 \cdot 3}

x = \frac{- 12 + 6 13}{2 \cdot 3} : - 2 + 13

x = \frac{- 12 - 6 13}{2 \cdot 3} : - 2 - 13

二次方程组的解是:

x = - 2 + 13, x = - 2 - 13

作图

流行的例子

x^{2} + 20 = 24

solvefor x,y=(x-3)^2-4

so l v e f or x, y = (x - 3)^{2} - 4

solvefor x,y^4+7xy^2=x^2

so l v e f or x, y^{4} + 7 x y^{2} = x^{2}

solvefor y,x=(y-1)^2-2

so l v e f or y, x = (y - 1)^{2} - 2

4 x^{2} - 12 x - 280 = 0