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受欢迎的代数 >

2x^2-5x=-7

解答

2 x^{2} - 5 x = - 7

解答

x = \frac{5}{4} + i \frac{31}{4}, x = \frac{5}{4} - i \frac{31}{4}

求解步骤

2 x^{2} - 5 x = - 7

将

7

para o lado esquerdo

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

使用求根公式求解

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

化简

(- 5)^{2} - 4 \cdot 2 \cdot 7 : 31 i

x_{1, 2} = \frac{- ( - 5 ) \pm 31 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 31 i}{2 \cdot 2}, x_{2} = \frac{- ( - 5 ) - 31 i}{2 \cdot 2}

x = \frac{- ( - 5 ) + 31 i}{2 \cdot 2} : \frac{5}{4} + i \frac{31}{4}

x = \frac{- ( - 5 ) - 31 i}{2 \cdot 2} : \frac{5}{4} - i \frac{31}{4}

二次方程组的解是:

x = \frac{5}{4} + i \frac{31}{4}, x = \frac{5}{4} - i \frac{31}{4}

作图

流行的例子

s im pl i f y - \frac{4}{2} - \frac{8}{3}

27 - 5 x^{2} = - 53

因式分解 x(x+1)+2(x+1)+x(x-3)+2(x-3)

f a c t or x (x + 1) + 2 (x + 1) + x (x - 3) + 2 (x - 3)

(15x+12)/3 =5x+4

\frac{15 x + 12}{3} = 5 x + 4

16 x^{2} = 9