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受欢迎的代数 >

x=x^2-160x+10000

解答

x = x^{2} - 160 x + 10000

解答

x = \frac{161}{2} + i \frac{19 39}{2}, x = \frac{161}{2} - i \frac{19 39}{2}

求解步骤

x = x^{2} - 160 x + 10000

交换两边

x^{2} - 160 x + 10000 = x

将

x

para o lado esquerdo

x^{2} - 161 x + 10000 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 161 ) \pm ( - 161 ) ^{2} - 4 \cdot 1 \cdot 10000}{2 \cdot 1}

化简

(- 161)^{2} - 4 \cdot 1 \cdot 10000 : 1939 i

x_{1, 2} = \frac{- ( - 161 ) \pm 19 39 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 161 ) + 19 39 i}{2 \cdot 1}, x_{2} = \frac{- ( - 161 ) - 19 39 i}{2 \cdot 1}

x = \frac{- ( - 161 ) + 19 39 i}{2 \cdot 1} : \frac{161}{2} + i \frac{19 39}{2}

x = \frac{- ( - 161 ) - 19 39 i}{2 \cdot 1} : \frac{161}{2} - i \frac{19 39}{2}

二次方程组的解是:

x = \frac{161}{2} + i \frac{19 39}{2}, x = \frac{161}{2} - i \frac{19 39}{2}

作图

流行的例子

x = 3 x^{2} - 4

4(x+2)-(x^2+5)=3(x-1)

4 (x + 2) - (x^{2} + 5) = 3 (x - 1)

6^{2} + x^{2} = 7^{2}

40 = 35 x + 5 x^{2}

solvefor m,4m^2n=49

so l v e f or m, 4 m^{2} n = 49