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受欢迎的代数 >

9.5x+2.5x*(1-x)=3.95

解答

9.5 x + 2.5 x \cdot (1 - x) = 3.95

解答

x = \frac{24 - 418}{10}, x = \frac{24 + 418}{10}

+1

十进制

x = 0.35549 \dots, x = 4.44450 \dots

求解步骤

9.5 x + 2.5 x (1 - x) = 3.95

在两边乘以

100

950 x + 250 x (1 - x) = 395

展开

950 x + 250 x (1 - x) : 1200 x - 250 x^{2}

1200 x - 250 x^{2} = 395

将

395

para o lado esquerdo

1200 x - 250 x^{2} - 395 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 250 x^{2} + 1200 x - 395 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1200 \pm 120 0 ^{2} - 4 ( - 250 ) ( - 395 )}{2 ( - 250 )}

120 0^{2} - 4 (- 250) (- 395) = 50418

x_{1, 2} = \frac{- 1200 \pm 50 418}{2 ( - 250 )}

将解分隔开

x_{1} = \frac{- 1200 + 50 418}{2 ( - 250 )}, x_{2} = \frac{- 1200 - 50 418}{2 ( - 250 )}

x = \frac{- 1200 + 50 418}{2 ( - 250 )} : \frac{24 - 418}{10}

x = \frac{- 1200 - 50 418}{2 ( - 250 )} : \frac{24 + 418}{10}

二次方程组的解是:

x = \frac{24 - 418}{10}, x = \frac{24 + 418}{10}

作图

流行的例子

100 x^{2} - 3 = 20 x

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

2(a+5)*x^2-(a+5)*x+1=0

2 (a + 5) \cdot x^{2} - (a + 5) \cdot x + 1 = 0

solvefor a,(1+a+b)^2=3(a^2+b^2+1)

so l v e f or a, (1 + a + b)^{2} = 3 (a^{2} + b^{2} + 1)

(x-2)^2=(3x+2)^2

(x - 2)^{2} = (3 x + 2)^{2}