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受欢迎的代数 >

100-4x=0.6x^2-12x+80

解答

100 - 4 x = 0.6 x^{2} - 12 x + 80

解答

x = \frac{10 ( 2 + 7 )}{3}, x = \frac{10 ( 2 - 7 )}{3}

+1

十进制

x = 15.48583 \dots, x = - 2.15250 \dots

求解步骤

100 - 4 x = 0.6 x^{2} - 12 x + 80

在两边乘以

10

1000 - 40 x = 6 x^{2} - 120 x + 800

交换两边

6 x^{2} - 120 x + 800 = 1000 - 40 x

将

40 x

para o lado esquerdo

6 x^{2} - 80 x + 800 = 1000

将

1000

para o lado esquerdo

6 x^{2} - 80 x - 200 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 80 ) \pm ( - 80 ) ^{2} - 4 \cdot 6 ( - 200 )}{2 \cdot 6}

(- 80)^{2} - 4 \cdot 6 (- 200) = 407

x_{1, 2} = \frac{- ( - 80 ) \pm 40 7}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- ( - 80 ) + 40 7}{2 \cdot 6}, x_{2} = \frac{- ( - 80 ) - 40 7}{2 \cdot 6}

x = \frac{- ( - 80 ) + 40 7}{2 \cdot 6} : \frac{10 ( 2 + 7 )}{3}

x = \frac{- ( - 80 ) - 40 7}{2 \cdot 6} : \frac{10 ( 2 - 7 )}{3}

二次方程组的解是:

x = \frac{10 ( 2 + 7 )}{3}, x = \frac{10 ( 2 - 7 )}{3}

作图

流行的例子

75 = 3 w^{2}

5 y (y - 2) = 2

3x(x-3)=11x^2-10x

3 x (x - 3) = 11 x^{2} - 10 x

12=-2.7t^2+30t+6.5

12 = - 2.7 t^{2} + 30 t + 6.5

35 x^{2} - 6 = x