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受欢迎的代数 >

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

解答

求解

x, f (x + 3) = 3 x^{2} + 4 x - 2

解答

x = \frac{- 4 + f + f ^{2} + 28 f + 40}{6}, x = \frac{- 4 + f - f ^{2} + 28 f + 40}{6}

求解步骤

f (x + 3) = 3 x^{2} + 4 x - 2

展开

f (x + 3) : x f + 3 f

x f + 3 f = 3 x^{2} + 4 x - 2

交换两边

3 x^{2} + 4 x - 2 = x f + 3 f

将

3 f

para o lado esquerdo

3 x^{2} + 4 x - 2 - 3 f = x f

将

x f

para o lado esquerdo

3 x^{2} + 4 x - 2 - 3 f - x f = 0

改写成标准形式

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

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

使用求根公式求解

x_{1, 2} = \frac{- ( 4 - f ) \pm ( 4 - f ) ^{2} - 4 \cdot 3 ( - 2 - 3 f )}{2 \cdot 3}

化简

(4 - f)^{2} - 4 \cdot 3 (- 2 - 3 f) : f^{2} + 28 f + 40

x_{1, 2} = \frac{- ( 4 - f ) \pm f ^{2} + 28 f + 40}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( 4 - f ) + f ^{2} + 28 f + 40}{2 \cdot 3}, x_{2} = \frac{- ( 4 - f ) - f ^{2} + 28 f + 40}{2 \cdot 3}

x = \frac{- ( 4 - f ) + f ^{2} + 28 f + 40}{2 \cdot 3} : \frac{- 4 + f + f ^{2} + 28 f + 40}{6}

x = \frac{- ( 4 - f ) - f ^{2} + 28 f + 40}{2 \cdot 3} : \frac{- 4 + f - f ^{2} + 28 f + 40}{6}

二次方程组的解是:

x = \frac{- 4 + f + f ^{2} + 28 f + 40}{6}, x = \frac{- 4 + f - f ^{2} + 28 f + 40}{6}

作图

流行的例子

3 x^{2} = - 12 x - 5

因式分解 h^2+6h=16

f a c t or h^{2} + 6 h = 16

(x-1)(x+1)=2x-3

(x - 1) (x + 1) = 2 x - 3

2 y^{2} = 64

4 w^{2} = 25 w + 21