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受欢迎的代数 >

9x^2-60x+100=20

解答

9 x^{2} - 60 x + 100 = 20

解答

x = \frac{2 ( 5 + 5 )}{3}, x = \frac{2 ( 5 - 5 )}{3}

+1

十进制

x = 4.82404 \dots, x = 1.84262 \dots

求解步骤

9 x^{2} - 60 x + 100 = 20

将

20

para o lado esquerdo

9 x^{2} - 60 x + 80 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 9 \cdot 80}{2 \cdot 9}

(- 60)^{2} - 4 \cdot 9 \cdot 80 = 125

x_{1, 2} = \frac{- ( - 60 ) \pm 12 5}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 60 ) + 12 5}{2 \cdot 9}, x_{2} = \frac{- ( - 60 ) - 12 5}{2 \cdot 9}

x = \frac{- ( - 60 ) + 12 5}{2 \cdot 9} : \frac{2 ( 5 + 5 )}{3}

x = \frac{- ( - 60 ) - 12 5}{2 \cdot 9} : \frac{2 ( 5 - 5 )}{3}

二次方程组的解是:

x = \frac{2 ( 5 + 5 )}{3}, x = \frac{2 ( 5 - 5 )}{3}

作图

流行的例子

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