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受欢迎的代数 >

4x^2-12x+9=2x^2+4x+2

解答

4 x^{2} - 12 x + 9 = 2 x^{2} + 4 x + 2

解答

x = \frac{8 + 5 2}{2}, x = \frac{8 - 5 2}{2}

+1

十进制

x = 7.53553 \dots, x = 0.46446 \dots

求解步骤

4 x^{2} - 12 x + 9 = 2 x^{2} + 4 x + 2

将

2

para o lado esquerdo

4 x^{2} - 12 x + 7 = 2 x^{2} + 4 x

将

4 x

para o lado esquerdo

4 x^{2} - 16 x + 7 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

2 x^{2} - 16 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 2 \cdot 7}{2 \cdot 2}

(- 16)^{2} - 4 \cdot 2 \cdot 7 = 102

x_{1, 2} = \frac{- ( - 16 ) \pm 10 2}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 10 2}{2 \cdot 2}, x_{2} = \frac{- ( - 16 ) - 10 2}{2 \cdot 2}

x = \frac{- ( - 16 ) + 10 2}{2 \cdot 2} : \frac{8 + 5 2}{2}

x = \frac{- ( - 16 ) - 10 2}{2 \cdot 2} : \frac{8 - 5 2}{2}

二次方程组的解是:

x = \frac{8 + 5 2}{2}, x = \frac{8 - 5 2}{2}

作图

流行的例子

因式分解 9x^2-12x=-4

f a c t or 9 x^{2} - 12 x = - 4

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

(x-3)^2+(3x-2)-11=0

(x - 3)^{2} + (3 x - 2) - 11 = 0

2 (x + 9)^{2} - 29 = 33

4 x^{2} + 57 = - 28 x