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受欢迎的代数 >

(m-2)*x^2-(3m-8)x+m-9=0

解答

(m - 2) \cdot x^{2} - (3 m - 8) x + m - 9 = 0

解答

x = \frac{3 m - 8 + 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}, x = \frac{3 m - 8 - 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}; m \neq = 2

求解步骤

(m - 2) x^{2} - (3 m - 8) x + m - 9 = 0

展开

(m - 2) x^{2} - (3 m - 8) x + m - 9 : m x^{2} - 2 x^{2} - 3 m x + 8 x + m - 9

m x^{2} - 2 x^{2} - 3 m x + 8 x + m - 9 = 0

改写成标准形式

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

(m - 2) x^{2} + (- 3 m + 8) x + m - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 m + 8 ) \pm ( - 3 m + 8 ) ^{2} - 4 ( m - 2 ) ( m - 9 )}{2 ( m - 2 )}

化简

(- 3 m + 8)^{2} - 4 (m - 2) (m - 9) : 5 m^{2} - 4 m - 8

x_{1, 2} = \frac{- ( - 3 m + 8 ) \pm 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}; m \neq = 2

将解分隔开

x_{1} = \frac{- ( - 3 m + 8 ) + 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}, x_{2} = \frac{- ( - 3 m + 8 ) - 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}

x = \frac{- ( - 3 m + 8 ) + 5 m ^{2} - 4 m - 8}{2 ( m - 2 )} : \frac{3 m - 8 + 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}

x = \frac{- ( - 3 m + 8 ) - 5 m ^{2} - 4 m - 8}{2 ( m - 2 )} : \frac{3 m - 8 - 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}

二次方程组的解是:

x = \frac{3 m - 8 + 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}, x = \frac{3 m - 8 - 5 m ^{2} - 4 m - 8}{2 ( m - 2 )}; m \neq = 2

作图

流行的例子

2 - x^{2} = 2

x^{2} + a = 25

solvefor x,x^2+y^2-4x-6y+19=0

so l v e f or x, x^{2} + y^{2} - 4 x - 6 y + 19 = 0

3 m^{2} - 243 m = 0

l(x)=-x^2+30x-200

l (x) = - x^{2} + 30 x - 200