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受欢迎的代数 >

(a-2)x^2+(b-3)x+1=(2a-8)x^2+(b+5)x+5

解答

(a - 2) \cdot x^{2} + (b - 3) x + 1 = (2 a - 8) \cdot x^{2} + (b + 5) x + 5

解答

x = \frac{2 ( - a + 10 + 2 )}{- a + 6}, x = \frac{2 ( - - a + 10 + 2 )}{- a + 6}; a \neq = 6

求解步骤

(a - 2) x^{2} + (b - 3) x + 1 = (2 a - 8) x^{2} + (b + 5) x + 5

将

5

para o lado esquerdo

a x^{2} - 2 x^{2} + b x - 3 x - 4 = (2 a - 8) x^{2} + (b + 5) x

将

(b + 5) x

para o lado esquerdo

a x^{2} - 2 x^{2} - 8 x - 4 = (2 a - 8) x^{2}

将

(2 a - 8) x^{2}

para o lado esquerdo

- a x^{2} + 6 x^{2} - 8 x - 4 = 0

改写成标准形式

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

(- a + 6) x^{2} - 8 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - a + 6 ) ( - 4 )}{2 ( - a + 6 )}

化简

(- 8)^{2} - 4 (- a + 6) (- 4) : 4 - a + 10

x_{1, 2} = \frac{- ( - 8 ) \pm 4 - a + 10}{2 ( - a + 6 )}; a \neq = 6

将解分隔开

x_{1} = \frac{- ( - 8 ) + 4 - a + 10}{2 ( - a + 6 )}, x_{2} = \frac{- ( - 8 ) - 4 - a + 10}{2 ( - a + 6 )}

x = \frac{- ( - 8 ) + 4 - a + 10}{2 ( - a + 6 )} : \frac{2 ( - a + 10 + 2 )}{- a + 6}

x = \frac{- ( - 8 ) - 4 - a + 10}{2 ( - a + 6 )} : \frac{2 ( - - a + 10 + 2 )}{- a + 6}

二次方程组的解是:

x = \frac{2 ( - a + 10 + 2 )}{- a + 6}, x = \frac{2 ( - - a + 10 + 2 )}{- a + 6}; a \neq = 6

作图

流行的例子

solvefor x,13x^2+2x^2y=1

so l v e f or x, 13 x^{2} + 2 x^{2} y = 1

solvefor a,e^2+f^2=2(a^2+b^2)

so l v e f or a, e^{2} + f^{2} = 2 (a^{2} + b^{2})

solvefor x,(x^2)/3+(y^2)/3 =(a^2)/3

so l v e f or x, \frac{x ^{2}}{3} + \frac{y ^{2}}{3} = \frac{a ^{2}}{3}

solvefor x,f(x^2+x)=x+2x

so l v e f or x, f (x^{2} + x) = x + 2 x

5.5 + b^{2} = 6