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受欢迎的代数 >

7/4 x^2+7x+3= 7/16 x^2+7/4 x+3

解答

\frac{7}{4} x^{2} + 7 x + 3 = \frac{7}{16} x^{2} + \frac{7}{4} x + 3

解答

x = 0, x = - 4

求解步骤

\frac{7}{4} x^{2} + 7 x + 3 = \frac{7}{16} x^{2} + \frac{7}{4} x + 3

找到

4, 16

的最小公倍数:

16

乘以最小公倍数=

16

\frac{7}{4} x^{2} \cdot 16 + 7 x \cdot 16 + 3 \cdot 16 = \frac{7}{16} x^{2} \cdot 16 + \frac{7}{4} x \cdot 16 + 3 \cdot 16

化简

28 x^{2} + 112 x + 48 = 7 x^{2} + 28 x + 48

将

48

para o lado esquerdo

28 x^{2} + 112 x = 7 x^{2} + 28 x

将

28 x

para o lado esquerdo

28 x^{2} + 84 x = 7 x^{2}

将

7 x^{2}

para o lado esquerdo

21 x^{2} + 84 x = 0

使用求根公式求解

x_{1, 2} = \frac{- 84 \pm 8 4 ^{2} - 4 \cdot 21 \cdot 0}{2 \cdot 21}

8 4^{2} - 4 \cdot 21 \cdot 0 = 84

x_{1, 2} = \frac{- 84 \pm 84}{2 \cdot 21}

将解分隔开

x_{1} = \frac{- 84 + 84}{2 \cdot 21}, x_{2} = \frac{- 84 - 84}{2 \cdot 21}

x = \frac{- 84 + 84}{2 \cdot 21} : 0

x = \frac{- 84 - 84}{2 \cdot 21} : - 4

二次方程组的解是:

x = 0, x = - 4

作图

流行的例子

4 x^{2} - x - 8 = 0

5x^2-100x+465=0

5 x^{2} - 100 x + 465 = 0

- 3 w^{2} - 78 = 138

v^{2} = - 9

x^{2} - 3 x - 27 = 0