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受欢迎的代数 >

ax^2+2x+a=5x^2-3ax+4

解答

a x^{2} + 2 x + a = 5 x^{2} - 3 a x + 4

解答

x = \frac{- 2 - 3 a + 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}, x = \frac{- 2 - 3 a - 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}; a \neq = 5

求解步骤

a x^{2} + 2 x + a = 5 x^{2} - 3 a x + 4

将

4

para o lado esquerdo

a x^{2} + 2 x + a - 4 = 5 x^{2} - 3 a x

将

3 a x

para o lado esquerdo

a x^{2} + 2 x + a - 4 + 3 a x = 5 x^{2}

将

5 x^{2}

para o lado esquerdo

a x^{2} + 2 x + a - 4 + 3 a x - 5 x^{2} = 0

改写成标准形式

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

(a - 5) x^{2} + (2 + 3 a) x + a - 4 = 0

使用求根公式求解

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

化简

(2 + 3 a)^{2} - 4 (a - 5) (a - 4) : 5 a^{2} + 48 a - 76

x_{1, 2} = \frac{- ( 2 + 3 a ) \pm 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}; a \neq = 5

将解分隔开

x_{1} = \frac{- ( 2 + 3 a ) + 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}, x_{2} = \frac{- ( 2 + 3 a ) - 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}

x = \frac{- ( 2 + 3 a ) + 5 a ^{2} + 48 a - 76}{2 ( a - 5 )} : \frac{- 2 - 3 a + 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}

x = \frac{- ( 2 + 3 a ) - 5 a ^{2} + 48 a - 76}{2 ( a - 5 )} : \frac{- 2 - 3 a - 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}

二次方程组的解是:

x = \frac{- 2 - 3 a + 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}, x = \frac{- 2 - 3 a - 5 a ^{2} + 48 a - 76}{2 ( a - 5 )}; a \neq = 5

作图

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solvefor x,f(x+1)=3x^2+2x-4

so l v e f or x, f (x + 1) = 3 x^{2} + 2 x - 4