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受欢迎的代数 >

6n^2+6n-7=4n^2

解答

6 n^{2} + 6 n - 7 = 4 n^{2}

解答

n = \frac{- 3 + 23}{2}, n = - \frac{3 + 23}{2}

+1

十进制

n = 0.89791 \dots, n = - 3.89791 \dots

求解步骤

6 n^{2} + 6 n - 7 = 4 n^{2}

将

4 n^{2}

para o lado esquerdo

2 n^{2} + 6 n - 7 = 0

使用求根公式求解

n_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 ( - 7 )}{2 \cdot 2}

6^{2} - 4 \cdot 2 (- 7) = 223

n_{1, 2} = \frac{- 6 \pm 2 23}{2 \cdot 2}

将解分隔开

n_{1} = \frac{- 6 + 2 23}{2 \cdot 2}, n_{2} = \frac{- 6 - 2 23}{2 \cdot 2}

n = \frac{- 6 + 2 23}{2 \cdot 2} : \frac{- 3 + 23}{2}

n = \frac{- 6 - 2 23}{2 \cdot 2} : - \frac{3 + 23}{2}

二次方程组的解是:

n = \frac{- 3 + 23}{2}, n = - \frac{3 + 23}{2}

作图

流行的例子

x^{2} - 17 x + 42 = 0

85-0.025x=0.000006x^2-0.02x+25

85 - 0.025 x = 0.000006 x^{2} - 0.02 x + 25

4 p^{2} = 448

completesquare x^2+10x+7=0

co m pl e t es q u a re x^{2} + 10 x + 7 = 0

5+11+17+23+(6n-1)=n(3n+2)

5 + 11 + 17 + 23 + (6 n - 1) = n (3 n + 2)