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受欢迎的代数 >

solvefor r,r^2x^2+krx+2=0

解答

求解

r, r^{2} x^{2} + k r x + 2 = 0

解答

r = \frac{- k + k ^{2} - 8}{2 x}, r = - \frac{k + k ^{2} - 8}{2 x}; x \neq = 0

求解步骤

r^{2} x^{2} + k r x + 2 = 0

改写成标准形式

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

x^{2} r^{2} + k x r + 2 = 0

使用求根公式求解

r_{1, 2} = \frac{- k x \pm ( k x ) ^{2} - 4 x ^{2} \cdot 2}{2 x ^{2}}

化简

(k x)^{2} - 4 x^{2} \cdot 2 : x k^{2} - 8

r_{1, 2} = \frac{- k x \pm x k ^{2} - 8}{2 x ^{2}}; x \neq = 0

将解分隔开

r_{1} = \frac{- k x + x k ^{2} - 8}{2 x ^{2}}, r_{2} = \frac{- k x - x k ^{2} - 8}{2 x ^{2}}

r = \frac{- k x + x k ^{2} - 8}{2 x ^{2}} : \frac{- k + k ^{2} - 8}{2 x}

r = \frac{- k x - x k ^{2} - 8}{2 x ^{2}} : - \frac{k + k ^{2} - 8}{2 x}

二次方程组的解是:

r = \frac{- k + k ^{2} - 8}{2 x}, r = - \frac{k + k ^{2} - 8}{2 x}; x \neq = 0

作图

流行的例子

x^{2} - 2 x = 255

- 6 x^{2} + 42 x - 36 = 0

(4 + x) 3 x = 48

9 y^{2} - 49 = 0

solvefor x,x^2+8x+11=0

so l v e f or x, x^{2} + 8 x + 11 = 0