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受欢迎的代数 >

x^2-3x+5=2x-9

解答

x^{2} - 3 x + 5 = 2 x - 9

解答

x = \frac{5}{2} + i \frac{31}{2}, x = \frac{5}{2} - i \frac{31}{2}

求解步骤

x^{2} - 3 x + 5 = 2 x - 9

将

9

para o lado esquerdo

x^{2} - 3 x + 14 = 2 x

将

2 x

para o lado esquerdo

x^{2} - 5 x + 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 14}{2 \cdot 1}

化简

(- 5)^{2} - 4 \cdot 1 \cdot 14 : 31 i

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

将解分隔开

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

x = \frac{- ( - 5 ) + 31 i}{2 \cdot 1} : \frac{5}{2} + i \frac{31}{2}

x = \frac{- ( - 5 ) - 31 i}{2 \cdot 1} : \frac{5}{2} - i \frac{31}{2}

二次方程组的解是:

x = \frac{5}{2} + i \frac{31}{2}, x = \frac{5}{2} - i \frac{31}{2}

作图

流行的例子

2(5x+9)^2+10=28

2 (5 x + 9)^{2} + 10 = 28

2 x^{2} + 5 = 5 x^{2} - 37

(x + 3)^{2} - 3 = 49

4 (x^{2} + 6) + 35 x = 0

(x-7)^2+(x+1)^2=7(x-1)^2+43

(x - 7)^{2} + (x + 1)^{2} = 7 (x - 1)^{2} + 43