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受欢迎的代数 >

quadraticformula 3x^2-x-2=1

解答

3 x^{2} - x - 2 = 1

解答

x = \frac{1 + 37}{6}, x = \frac{1 - 37}{6}

+1

十进制

x = 1.18046 \dots, x = - 0.84712 \dots

求解步骤

3 x^{2} - x - 2 = 1

将

1

para o lado esquerdo

3 x^{2} - x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 3 ( - 3 )}{2 \cdot 3}

(- 1)^{2} - 4 \cdot 3 (- 3) = 37

x_{1, 2} = \frac{- ( - 1 ) \pm 37}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 37}{2 \cdot 3}, x_{2} = \frac{- ( - 1 ) - 37}{2 \cdot 3}

x = \frac{- ( - 1 ) + 37}{2 \cdot 3} : \frac{1 + 37}{6}

x = \frac{- ( - 1 ) - 37}{2 \cdot 3} : \frac{1 - 37}{6}

二次方程组的解是:

x = \frac{1 + 37}{6}, x = \frac{1 - 37}{6}

作图

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completesquare 2x^2+x-10=0

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