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受欢迎的代数 >

2x^2+(3/5)x+30=0

解答

2 x^{2} + (\frac{3}{5}) x + 30 = 0

解答

x = - \frac{3}{20} + i \frac{5991}{20}, x = - \frac{3}{20} - i \frac{5991}{20}

求解步骤

2 x^{2} + (\frac{3}{5}) x + 30 = 0

整理后得

2 x^{2} + \frac{3}{5} x + 30 = 0

改写成标准形式

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

2 x^{2} + \frac{3 x}{5} + 30 = 0

使用求根公式求解

x_{1, 2} = \frac{- \frac{3}{5} \pm ( \frac{3}{5} ) ^{2} - 4 \cdot 2 \cdot 30}{2 \cdot 2}

化简

(\frac{3}{5})^{2} - 4 \cdot 2 \cdot 30 : i \frac{5991}{5}

x_{1, 2} = \frac{- \frac{3}{5} \pm i \frac{5991}{5}}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- \frac{3}{5} + i \frac{5991}{5}}{2 \cdot 2}, x_{2} = \frac{- \frac{3}{5} - i \frac{5991}{5}}{2 \cdot 2}

x = \frac{- \frac{3}{5} + i \frac{5991}{5}}{2 \cdot 2} : - \frac{3}{20} + i \frac{5991}{20}

x = \frac{- \frac{3}{5} - i \frac{5991}{5}}{2 \cdot 2} : - \frac{3}{20} - i \frac{5991}{20}

二次方程组的解是:

x = - \frac{3}{20} + i \frac{5991}{20}, x = - \frac{3}{20} - i \frac{5991}{20}

作图

流行的例子

化简 (6a-30)/6

s im pl i f y \frac{6 a - 30}{6}

化简 (4*16*27*3^{-2})/(2^6*3^{-2)*3^3*2^6}

s im pl i f y \frac{4 \cdot 16 \cdot 27 \cdot 3 ^{- 2}}{2 ^{6} \cdot 3 ^{- 2} \cdot 3 ^{3} \cdot 2 ^{6}}

因式分解 (53.96)/(333.33)

f a c t or \frac{53.96}{333.33}

- 2 x^{2} + x + 10 = 0

因式分解 12x^2-61x+77

f a c t or 12 x^{2} - 61 x + 77