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受欢迎的代数 >

(x^2)/(16)-x/8 =1

解答

\frac{x ^{2}}{16} - \frac{x}{8} = 1

解答

x = 1 + 17, x = 1 - 17

+1

十进制

x = 5.12310 \dots, x = - 3.12310 \dots

求解步骤

\frac{x ^{2}}{16} - \frac{x}{8} = 1

找到

16, 8

的最小公倍数:

16

乘以最小公倍数=

16

\frac{x ^{2}}{16} \cdot 16 - \frac{x}{8} \cdot 16 = 1 \cdot 16

化简

x^{2} - 2 x = 16

将

16

para o lado esquerdo

x^{2} - 2 x - 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 16) = 217

x_{1, 2} = \frac{- ( - 2 ) \pm 2 17}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 17}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 2 17}{2 \cdot 1}

x = \frac{- ( - 2 ) + 2 17}{2 \cdot 1} : 1 + 17

x = \frac{- ( - 2 ) - 2 17}{2 \cdot 1} : 1 - 17

二次方程组的解是:

x = 1 + 17, x = 1 - 17

作图

流行的例子

4 x^{2} + 13 x - 35 = 0

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