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受欢迎的代数 >

1=8x+3x^2

解答

1 = 8 x + 3 x^{2}

解答

x = \frac{- 4 + 19}{3}, x = - \frac{4 + 19}{3}

+1

十进制

x = 0.11963 \dots, x = - 2.78629 \dots

求解步骤

1 = 8 x + 3 x^{2}

交换两边

8 x + 3 x^{2} = 1

将

1

para o lado esquerdo

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

改写成标准形式

a x^{2} + b x + c = 0

3 x^{2} + 8 x - 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 ( - 1 )}{2 \cdot 3}

8^{2} - 4 \cdot 3 (- 1) = 219

x_{1, 2} = \frac{- 8 \pm 2 19}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- 8 + 2 19}{2 \cdot 3}, x_{2} = \frac{- 8 - 2 19}{2 \cdot 3}

x = \frac{- 8 + 2 19}{2 \cdot 3} : \frac{- 4 + 19}{3}

x = \frac{- 8 - 2 19}{2 \cdot 3} : - \frac{4 + 19}{3}

二次方程组的解是:

x = \frac{- 4 + 19}{3}, x = - \frac{4 + 19}{3}

作图

流行的例子

4 x^{2} - 3 = - 8 x - 6

-7000x^2-7280x=144551

- 7000 x^{2} - 7280 x = 144551

solvefor x,(x^2)/a+e=t

so l v e f or x, \frac{x ^{2}}{a} + e = t

- 2 x^{2} + 13 x - 20 = 0

4 (x^{2} - 3) + 6 = 10