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受欢迎的代数 >

5n+28=n^2

解答

5 n + 28 = n^{2}

解答

n = \frac{5 + 137}{2}, n = \frac{5 - 137}{2}

+1

十进制

n = 8.35234 \dots, n = - 3.35234 \dots

求解步骤

5 n + 28 = n^{2}

交换两边

n^{2} = 5 n + 28

将

28

para o lado esquerdo

n^{2} - 28 = 5 n

将

5 n

para o lado esquerdo

n^{2} - 28 - 5 n = 0

改写成标准形式

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

n^{2} - 5 n - 28 = 0

使用求根公式求解

n_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot ( - 28 )}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot (- 28) = 137

n_{1, 2} = \frac{- ( - 5 ) \pm 137}{2 \cdot 1}

将解分隔开

n_{1} = \frac{- ( - 5 ) + 137}{2 \cdot 1}, n_{2} = \frac{- ( - 5 ) - 137}{2 \cdot 1}

n = \frac{- ( - 5 ) + 137}{2 \cdot 1} : \frac{5 + 137}{2}

n = \frac{- ( - 5 ) - 137}{2 \cdot 1} : \frac{5 - 137}{2}

二次方程组的解是:

n = \frac{5 + 137}{2}, n = \frac{5 - 137}{2}

作图

流行的例子

3 x^{2} + 10 x = - 9

8 x - x^{2} = 16

x^{2} + 3 x = 88

x^{2} = 5^{2} + 2^{2}

-13=8t+(0.5)(-9.8)t^2

- 13 = 8 t + (0.5) (- 9.8) t^{2}