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受欢迎的代数 >

2x^2-3x=-7

解答

2 x^{2} - 3 x = - 7

解答

x = \frac{3}{4} + i \frac{47}{4}, x = \frac{3}{4} - i \frac{47}{4}

求解步骤

2 x^{2} - 3 x = - 7

将

7

para o lado esquerdo

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

使用求根公式求解

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

化简

(- 3)^{2} - 4 \cdot 2 \cdot 7 : 47 i

x_{1, 2} = \frac{- ( - 3 ) \pm 47 i}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 3 ) + 47 i}{2 \cdot 2}, x_{2} = \frac{- ( - 3 ) - 47 i}{2 \cdot 2}

x = \frac{- ( - 3 ) + 47 i}{2 \cdot 2} : \frac{3}{4} + i \frac{47}{4}

x = \frac{- ( - 3 ) - 47 i}{2 \cdot 2} : \frac{3}{4} - i \frac{47}{4}

二次方程组的解是:

x = \frac{3}{4} + i \frac{47}{4}, x = \frac{3}{4} - i \frac{47}{4}

作图

流行的例子

6x^2-130x+500=0

6 x^{2} - 130 x + 500 = 0

D^{2} + 2 D + 1 = 0

2 d = a t^{2}

k^{2} - 4 k + 69 = - 3

x^2-25=12,x+5=4,x-5

x^{2} - 25 = 12, x + 5 = 4, x - 5