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受欢迎的代数 >

1/2 x^2-7x+7=0

解答

\frac{1}{2} x^{2} - 7 x + 7 = 0

解答

x = 7 + 35, x = 7 - 35

+1

十进制

x = 12.91607 \dots, x = 1.08392 \dots

求解步骤

\frac{1}{2} x^{2} - 7 x + 7 = 0

在两边乘以

2

x^{2} - 14 x + 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 14}{2 \cdot 1}

(- 14)^{2} - 4 \cdot 1 \cdot 14 = 235

x_{1, 2} = \frac{- ( - 14 ) \pm 2 35}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 2 35}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 2 35}{2 \cdot 1}

x = \frac{- ( - 14 ) + 2 35}{2 \cdot 1} : 7 + 35

x = \frac{- ( - 14 ) - 2 35}{2 \cdot 1} : 7 - 35

二次方程组的解是:

x = 7 + 35, x = 7 - 35

作图

流行的例子

x^{2} - a x + 1 = 0

4 x - 3 = - 12 x^{2}

6 x^{2} = 5 x - 3

5^{2} = 3^{2} + b^{2}

((x+2)^2)/(12)-((x+5)^2)/(30)=1

\frac{( x + 2 ) ^{2}}{12} - \frac{( x + 5 ) ^{2}}{30} = 1