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受欢迎的代数 >

14n^2+12n+3=6n^2+4n+7

解答

14 n^{2} + 12 n + 3 = 6 n^{2} + 4 n + 7

解答

n = \frac{- 1 + 3}{2}, n = - \frac{1 + 3}{2}

+1

十进制

n = 0.36602 \dots, n = - 1.36602 \dots

求解步骤

14 n^{2} + 12 n + 3 = 6 n^{2} + 4 n + 7

将

7

para o lado esquerdo

14 n^{2} + 12 n - 4 = 6 n^{2} + 4 n

将

4 n

para o lado esquerdo

14 n^{2} + 8 n - 4 = 6 n^{2}

将

6 n^{2}

para o lado esquerdo

8 n^{2} + 8 n - 4 = 0

使用求根公式求解

n_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 8 ( - 4 )}{2 \cdot 8}

8^{2} - 4 \cdot 8 (- 4) = 83

n_{1, 2} = \frac{- 8 \pm 8 3}{2 \cdot 8}

将解分隔开

n_{1} = \frac{- 8 + 8 3}{2 \cdot 8}, n_{2} = \frac{- 8 - 8 3}{2 \cdot 8}

n = \frac{- 8 + 8 3}{2 \cdot 8} : \frac{- 1 + 3}{2}

n = \frac{- 8 - 8 3}{2 \cdot 8} : - \frac{1 + 3}{2}

二次方程组的解是:

n = \frac{- 1 + 3}{2}, n = - \frac{1 + 3}{2}

作图

流行的例子

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

x (5 - x) = 4

y^{2} + 13 y + 36 = 0

w^{2} - 2 w + 26 = 93

(x + 11)^{2} = - 4