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受欢迎的代数 >

3x^2+5=7x

解答

3 x^{2} + 5 = 7 x

解答

x = \frac{7}{6} + i \frac{11}{6}, x = \frac{7}{6} - i \frac{11}{6}

求解步骤

3 x^{2} + 5 = 7 x

将

7 x

para o lado esquerdo

3 x^{2} + 5 - 7 x = 0

改写成标准形式

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

3 x^{2} - 7 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

化简

(- 7)^{2} - 4 \cdot 3 \cdot 5 : 11 i

x_{1, 2} = \frac{- ( - 7 ) \pm 11 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 7 ) + 11 i}{2 \cdot 3}, x_{2} = \frac{- ( - 7 ) - 11 i}{2 \cdot 3}

x = \frac{- ( - 7 ) + 11 i}{2 \cdot 3} : \frac{7}{6} + i \frac{11}{6}

x = \frac{- ( - 7 ) - 11 i}{2 \cdot 3} : \frac{7}{6} - i \frac{11}{6}

二次方程组的解是:

x = \frac{7}{6} + i \frac{11}{6}, x = \frac{7}{6} - i \frac{11}{6}

作图

流行的例子

3 x + 5 = 5 x - 13

化简 (8!(8-4)!)/(4!)

s im pl i f y \frac{8 ! ( 8 - 4 ) !}{4 !}

因式分解 30m^2-6mn^2+30m^4

f a c t or 30 m^{2} - 6 m n^{2} + 30 m^{4}

5 x^{2} + 8 x - 40 = 8

化简 (16!)/(0!(16-0)!)

s im pl i f y \frac{16 !}{0 ! ( 16 - 0 ) !}