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受欢迎的代数 >

(x^2)/5+x/4 =5

解答

\frac{x ^{2}}{5} + \frac{x}{4} = 5

解答

x = \frac{- 5 + 5 65}{8}, x = \frac{- 5 - 5 65}{8}

+1

十进制

x = 4.41391 \dots, x = - 5.66391 \dots

求解步骤

\frac{x ^{2}}{5} + \frac{x}{4} = 5

找到

5, 4

的最小公倍数:

20

乘以最小公倍数=

20

\frac{x ^{2}}{5} \cdot 20 + \frac{x}{4} \cdot 20 = 5 \cdot 20

化简

4 x^{2} + 5 x = 100

将

100

para o lado esquerdo

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

使用求根公式求解

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 4 ( - 100 )}{2 \cdot 4}

5^{2} - 4 \cdot 4 (- 100) = 565

x_{1, 2} = \frac{- 5 \pm 5 65}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 5 + 5 65}{2 \cdot 4}, x_{2} = \frac{- 5 - 5 65}{2 \cdot 4}

x = \frac{- 5 + 5 65}{2 \cdot 4} : \frac{- 5 + 5 65}{8}

x = \frac{- 5 - 5 65}{2 \cdot 4} : \frac{- 5 - 5 65}{8}

二次方程组的解是:

x = \frac{- 5 + 5 65}{8}, x = \frac{- 5 - 5 65}{8}

作图

流行的例子

3 y^{2} - 12 = 0

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quadraticformula x^2+7x+10=0

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