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受欢迎的代数 >

x/(5000)= 4/2000 (5-x-0.3)^2

解答

\frac{x}{5000} = \frac{4}{2000} (5 - x - 0.3)^{2}

解答

x = \frac{95 + 3 21}{20}, x = \frac{95 - 3 21}{20}

+1

十进制

x = 5.43738 \dots, x = 4.06261 \dots

求解步骤

\frac{x}{5000} = \frac{4}{2000} (5 - x - 0.3)^{2}

找到

5000, 2000

的最小公倍数:

10000

乘以最小公倍数=

10000

\frac{x}{5000} \cdot 10000 = \frac{4}{2000} (5 - x - 0.3)^{2} \cdot 10000

化简

2 x = 20 (- x + 4.7)^{2}

展开

20 (- x + 4.7)^{2} : 20 x^{2} - 188 x + 441.8

2 x = 20 x^{2} - 188 x + 441.8

交换两边

20 x^{2} - 188 x + 441.8 = 2 x

将

2 x

para o lado esquerdo

20 x^{2} - 190 x + 441.8 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 190 ) \pm ( - 190 ) ^{2} - 4 \cdot 20 \cdot 441.8}{2 \cdot 20}

(- 190)^{2} - 4 \cdot 20 \cdot 441.8 = 621

x_{1, 2} = \frac{- ( - 190 ) \pm 6 21}{2 \cdot 20}

将解分隔开

x_{1} = \frac{- ( - 190 ) + 6 21}{2 \cdot 20}, x_{2} = \frac{- ( - 190 ) - 6 21}{2 \cdot 20}

x = \frac{- ( - 190 ) + 6 21}{2 \cdot 20} : \frac{95 + 3 21}{20}

x = \frac{- ( - 190 ) - 6 21}{2 \cdot 20} : \frac{95 - 3 21}{20}

二次方程组的解是:

x = \frac{95 + 3 21}{20}, x = \frac{95 - 3 21}{20}

作图

流行的例子

2 (x - 1)^{2} + 3 = 6

(- 1 - x) (- 1 - x) = 0

7 m^{2} = 35

solvefor t,p=-0.4t^2+128t+1200

so l v e f or t, p = - 0.4 t^{2} + 128 t + 1200

solvefor x,5x^2y+9y^2x=-1

so l v e f or x, 5 x^{2} y + 9 y^{2} x = - 1