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受欢迎的代数 >

6x^{(2)}+5=17x

解答

6 x^{(2)} + 5 = 17 x

解答

x = \frac{5}{2}, x = \frac{1}{3}

+1

十进制

x = 2.5, x = 0.33333 \dots

求解步骤

6 x^{(2)} + 5 = 17 x

整理后得

6 x^{2} + 5 = 17 x

将

17 x

para o lado esquerdo

6 x^{2} + 5 - 17 x = 0

改写成标准形式

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

6 x^{2} - 17 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 17 ) \pm ( - 17 ) ^{2} - 4 \cdot 6 \cdot 5}{2 \cdot 6}

(- 17)^{2} - 4 \cdot 6 \cdot 5 = 13

x_{1, 2} = \frac{- ( - 17 ) \pm 13}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 17 ) + 13}{2 \cdot 6}, x_{2} = \frac{- ( - 17 ) - 13}{2 \cdot 6}

x = \frac{- ( - 17 ) + 13}{2 \cdot 6} : \frac{5}{2}

x = \frac{- ( - 17 ) - 13}{2 \cdot 6} : \frac{1}{3}

二次方程组的解是:

x = \frac{5}{2}, x = \frac{1}{3}

作图

流行的例子

solvefor a,a^2b+c=24

so l v e f or a, a^{2} b + c = 24

3 v^{2} - 18 v - 12 = 2

0 = x^{2} + 5 x + 17

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