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受欢迎的代数 >

solvefor x,x^2+y^2-18x+81=0

解答

求解

x, x^{2} + y^{2} - 18 x + 81 = 0

解答

x = 9 + i y, x = 9 - i y

求解步骤

x^{2} + y^{2} - 18 x + 81 = 0

改写成标准形式

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

x^{2} - 18 x + y^{2} + 81 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} + 81 )}{2 \cdot 1}

化简

(- 18)^{2} - 4 \cdot 1 \cdot (y^{2} + 81) : 2 i y

x_{1, 2} = \frac{- ( - 18 ) \pm 2 i y}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 18 ) + 2 i y}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 2 i y}{2 \cdot 1}

x = \frac{- ( - 18 ) + 2 i y}{2 \cdot 1} : 9 + i y

x = \frac{- ( - 18 ) - 2 i y}{2 \cdot 1} : 9 - i y

二次方程组的解是:

x = 9 + i y, x = 9 - i y

作图

流行的例子

X^{2} - 7 X + 12 = 0

-9n^2+2n+21=-5n^2

- 9 n^{2} + 2 n + 21 = - 5 n^{2}

因式分解 4x^2+6x=0

f a c t or 4 x^{2} + 6 x = 0

- 8 + x^{2} = 0

completesquare x^2+4x-8=0

co m pl e t es q u a re x^{2} + 4 x - 8 = 0