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受欢迎的代数 >

1/2 x^2+3/8 x=2

解答

\frac{1}{2} x^{2} + \frac{3}{8} x = 2

解答

x = \frac{- 3 + 265}{8}, x = \frac{- 3 - 265}{8}

+1

十进制

x = 1.65985 \dots, x = - 2.40985 \dots

求解步骤

\frac{1}{2} x^{2} + \frac{3}{8} x = 2

找到

2, 8

的最小公倍数:

8

乘以最小公倍数=

8

\frac{1}{2} x^{2} \cdot 8 + \frac{3}{8} x \cdot 8 = 2 \cdot 8

化简

4 x^{2} + 3 x = 16

将

16

para o lado esquerdo

4 x^{2} + 3 x - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 4 ( - 16 )}{2 \cdot 4}

3^{2} - 4 \cdot 4 (- 16) = 265

x_{1, 2} = \frac{- 3 \pm 265}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 3 + 265}{2 \cdot 4}, x_{2} = \frac{- 3 - 265}{2 \cdot 4}

x = \frac{- 3 + 265}{2 \cdot 4} : \frac{- 3 + 265}{8}

x = \frac{- 3 - 265}{2 \cdot 4} : \frac{- 3 - 265}{8}

二次方程组的解是:

x = \frac{- 3 + 265}{8}, x = \frac{- 3 - 265}{8}

作图

流行的例子

(1-x)(11-x)+26=0

(1 - x) (11 - x) + 26 = 0

x^{2} + x = - 5

A^{2} = 2 x (4 x + 1)

x^{2} - 8 x = - 2

因式分解 x^2-9x-20=-2x-2

f a c t or x^{2} - 9 x - 20 = - 2 x - 2