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受欢迎的代数 >

2x^2-x=11

解答

2 x^{2} - x = 11

解答

x = \frac{1 + 89}{4}, x = \frac{1 - 89}{4}

+1

十进制

x = 2.60849 \dots, x = - 2.10849 \dots

求解步骤

2 x^{2} - x = 11

将

11

para o lado esquerdo

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

使用求根公式求解

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

(- 1)^{2} - 4 \cdot 2 (- 11) = 89

x_{1, 2} = \frac{- ( - 1 ) \pm 89}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 89}{2 \cdot 2}, x_{2} = \frac{- ( - 1 ) - 89}{2 \cdot 2}

x = \frac{- ( - 1 ) + 89}{2 \cdot 2} : \frac{1 + 89}{4}

x = \frac{- ( - 1 ) - 89}{2 \cdot 2} : \frac{1 - 89}{4}

二次方程组的解是:

x = \frac{1 + 89}{4}, x = \frac{1 - 89}{4}

作图

流行的例子

2 x^{2} - x = 55

(x - 2) (2 x + 1) = x

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lo g_{5} (4) + lo g_{5} (5) x^{2} = 5

(4x+3)^2+11=-17

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