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受欢迎的代数 >

(m-2)x^2+2x=8x^2+26-m

解答

(m - 2) x^{2} + 2 x = 8 x^{2} + 26 - m

解答

x = \frac{- 1 + - m ^{2} + 36 m - 259}{m - 10}, x = - \frac{- m ^{2} + 36 m - 259 + 1}{m - 10}; m \neq = 10

求解步骤

(m - 2) x^{2} + 2 x = 8 x^{2} + 26 - m

将

m

para o lado esquerdo

(m - 2) x^{2} + 2 x + m = 8 x^{2} + 26

将

26

para o lado esquerdo

(m - 2) x^{2} + 2 x + m - 26 = 8 x^{2}

将

8 x^{2}

para o lado esquerdo

m x^{2} - 10 x^{2} + 2 x + m - 26 = 0

改写成标准形式

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

(m - 10) x^{2} + 2 x + m - 26 = 0

使用求根公式求解

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( m - 10 ) ( m - 26 )}{2 ( m - 10 )}

化简

2^{2} - 4 (m - 10) (m - 26) : 2 - m^{2} + 36 m - 259

x_{1, 2} = \frac{- 2 \pm 2 - m ^{2} + 36 m - 259}{2 ( m - 10 )}; m \neq = 10

将解分隔开

x_{1} = \frac{- 2 + 2 - m ^{2} + 36 m - 259}{2 ( m - 10 )}, x_{2} = \frac{- 2 - 2 - m ^{2} + 36 m - 259}{2 ( m - 10 )}

x = \frac{- 2 + 2 - m ^{2} + 36 m - 259}{2 ( m - 10 )} : \frac{- 1 + - m ^{2} + 36 m - 259}{m - 10}

x = \frac{- 2 - 2 - m ^{2} + 36 m - 259}{2 ( m - 10 )} : - \frac{- m ^{2} + 36 m - 259 + 1}{m - 10}

二次方程组的解是:

x = \frac{- 1 + - m ^{2} + 36 m - 259}{m - 10}, x = - \frac{- m ^{2} + 36 m - 259 + 1}{m - 10}; m \neq = 10

作图

流行的例子

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