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受欢迎的代数 >

solvefor x,I(x)=5x-x^2

解答

求解

x, I (x) = 5 x - x^{2}

解答

x = 0, x = 5 - I

求解步骤

I (x) = 5 x - x^{2}

整理后得

x I = 5 x - x^{2}

交换两边

5 x - x^{2} = x I

将

x I

para o lado esquerdo

5 x - x^{2} - x I = 0

改写成标准形式

a x^{2} + b x + c = 0

- x^{2} + (5 - I) x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 5 - I ) \pm ( 5 - I ) ^{2} - 4 ( - 1 ) \cdot 0}{2 ( - 1 )}

化简

(5 - I)^{2} - 4 (- 1) \cdot 0 : - I + 5

x_{1, 2} = \frac{- ( 5 - I ) \pm ( - I + 5 )}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( 5 - I ) - I + 5}{2 ( - 1 )}, x_{2} = \frac{- ( 5 - I ) - ( - I + 5 )}{2 ( - 1 )}

x = \frac{- ( 5 - I ) - I + 5}{2 ( - 1 )} : 0

x = \frac{- ( 5 - I ) - ( - I + 5 )}{2 ( - 1 )} : 5 - I

二次方程组的解是:

x = 0, x = 5 - I

作图

流行的例子

solvefor x,2x^2-3x+3=0

so l v e f or x, 2 x^{2} - 3 x + 3 = 0

solvefor y,x^2+(y-2)^2=4

so l v e f or y, x^{2} + (y - 2)^{2} = 4

5 x^{2} - 50 x + 60 = - 5

- 15 x^{2} + 17 x - 6 = 0

3 x^{2} - 21 x - 54 = 0