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受欢迎的代数 >

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

解答

求解

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

解答

x = \frac{3 f + 9 f ^{2} + 56 f}{4}, x = \frac{3 f - 9 f ^{2} + 56 f}{4}

求解步骤

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

展开

2 x^{2} - 3 f (x + 2) : 2 x^{2} - 3 x f - 6 f

f = 2 x^{2} - 3 x f - 6 f

交换两边

2 x^{2} - 3 x f - 6 f = f

将

f

para o lado esquerdo

2 x^{2} - 3 x f - 7 f = 0

改写成标准形式

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

2 x^{2} - 3 f x - 7 f = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 3 f ) \pm ( - 3 f ) ^{2} - 4 \cdot 2 ( - 7 f )}{2 \cdot 2}

化简

(- 3 f)^{2} - 4 \cdot 2 (- 7 f) : 9 f^{2} + 56 f

x_{1, 2} = \frac{- ( - 3 f ) \pm 9 f ^{2} + 56 f}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 3 f ) + 9 f ^{2} + 56 f}{2 \cdot 2}, x_{2} = \frac{- ( - 3 f ) - 9 f ^{2} + 56 f}{2 \cdot 2}

x = \frac{- ( - 3 f ) + 9 f ^{2} + 56 f}{2 \cdot 2} : \frac{3 f + 9 f ^{2} + 56 f}{4}

x = \frac{- ( - 3 f ) - 9 f ^{2} + 56 f}{2 \cdot 2} : \frac{3 f - 9 f ^{2} + 56 f}{4}

二次方程组的解是:

x = \frac{3 f + 9 f ^{2} + 56 f}{4}, x = \frac{3 f - 9 f ^{2} + 56 f}{4}

作图

流行的例子

6 t^{2} - 89 t + 12 = 0

0 = (x - 2) (x - 6)

18 = 6 X + X (X - 13)

(5 x) (x + 3) = 0

因式分解 3x^2=-10x+8

f a c t or 3 x^{2} = - 10 x + 8