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受欢迎的代数 >

2x^2+3x+6=4x

解答

2 x^{2} + 3 x + 6 = 4 x

解答

x = \frac{1}{4} + i \frac{47}{4}, x = \frac{1}{4} - i \frac{47}{4}

求解步骤

2 x^{2} + 3 x + 6 = 4 x

将

4 x

para o lado esquerdo

2 x^{2} - x + 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 \cdot 6}{2 \cdot 2}

化简

(- 1)^{2} - 4 \cdot 2 \cdot 6 : 47 i

x_{1, 2} = \frac{- ( - 1 ) \pm 47 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 47 i}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 47 i}{2 \cdot 2}

x = \frac{- ( - 1 ) + 47 i}{2 \cdot 2} : \frac{1}{4} + i \frac{47}{4}

x = \frac{- ( - 1 ) - 47 i}{2 \cdot 2} : \frac{1}{4} - i \frac{47}{4}

二次方程组的解是:

x = \frac{1}{4} + i \frac{47}{4}, x = \frac{1}{4} - i \frac{47}{4}

作图

流行的例子

quadraticformula 3x^2-10x=8

q u a d r a t i c f or m u l a 3 x^{2} - 10 x = 8

10 - 8 \frac{7}{8}

solvefor j,6j-11j-11j+19=-13

so l v e f or j, 6 j - 11 j - 11 j + 19 = - 13

s im pl i f y 4.75%

化简 66 2/3 %

s im pl i f y 66 \frac{2}{3} %