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受欢迎的代数 >

x^2-6x+135=0

解答

x^{2} - 6 x + 135 = 0

解答

x = 3 + 314 i, x = 3 - 314 i

求解步骤

x^{2} - 6 x + 135 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 135}{2 \cdot 1}

化简

(- 6)^{2} - 4 \cdot 1 \cdot 135 : 614 i

x_{1, 2} = \frac{- ( - 6 ) \pm 6 14 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 6 14 i}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 6 14 i}{2 \cdot 1}

x = \frac{- ( - 6 ) + 6 14 i}{2 \cdot 1} : 3 + 314 i

x = \frac{- ( - 6 ) - 6 14 i}{2 \cdot 1} : 3 - 314 i

二次方程组的解是:

x = 3 + 314 i, x = 3 - 314 i

作图

流行的例子

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

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

(x + 3) (x + 4) = 6

solvefor r,a=2pir^2+2pirh

so l v e f or r, a = 2 π r^{2} + 2 π r h

solvefor p,x^2-(2p-1)x+p^2-p-6=0

so l v e f or p, x^{2} - (2 p - 1) x + p^{2} - p - 6 = 0

(x + 1)^{2} - 2 = 0