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受欢迎的代数 >

3x^2-20x-30=0

解答

3 x^{2} - 20 x - 30 = 0

解答

x = \frac{10 + 190}{3}, x = \frac{10 - 190}{3}

+1

十进制

x = 7.92801 \dots, x = - 1.26134 \dots

求解步骤

3 x^{2} - 20 x - 30 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 3 ( - 30 )}{2 \cdot 3}

(- 20)^{2} - 4 \cdot 3 (- 30) = 2190

x_{1, 2} = \frac{- ( - 20 ) \pm 2 190}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 2 190}{2 \cdot 3}, x_{2} = \frac{- ( - 20 ) - 2 190}{2 \cdot 3}

x = \frac{- ( - 20 ) + 2 190}{2 \cdot 3} : \frac{10 + 190}{3}

x = \frac{- ( - 20 ) - 2 190}{2 \cdot 3} : \frac{10 - 190}{3}

二次方程组的解是:

x = \frac{10 + 190}{3}, x = \frac{10 - 190}{3}

作图

流行的例子

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(x - 1)^{2} - 2 x = 0

n^{2} - 51 n + 270 = 0

3 (x^{2} - 18) = 21

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