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受欢迎的代数 >

2x^2-1=11x+5

解答

2 x^{2} - 1 = 11 x + 5

解答

x = 6, x = - \frac{1}{2}

+1

十进制

x = 6, x = - 0.5

求解步骤

2 x^{2} - 1 = 11 x + 5

将

5

para o lado esquerdo

2 x^{2} - 6 = 11 x

将

11 x

para o lado esquerdo

2 x^{2} - 6 - 11 x = 0

改写成标准形式

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

2 x^{2} - 11 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 2 ( - 6 )}{2 \cdot 2}

(- 11)^{2} - 4 \cdot 2 (- 6) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 2}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 2}

x = \frac{- ( - 11 ) + 13}{2 \cdot 2} : 6

x = \frac{- ( - 11 ) - 13}{2 \cdot 2} : - \frac{1}{2}

二次方程组的解是:

x = 6, x = - \frac{1}{2}

作图

流行的例子

completesquare 3x^2-12x+13

co m pl e t es q u a re 3 x^{2} - 12 x + 13

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(100 - 2 x) (50 - 2 x) = 3600

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