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受欢迎的代数 >

solvefor a,u=50a-0.5a^2+60m-0.25m^2

解答

求解

a, u = 50 a - 0.5 a^{2} + 60 m - 0.25 m^{2}

解答

a = - \frac{- 5000 + 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}, a = - \frac{- 5000 - 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}

求解步骤

u = 50 a - 0.5 a^{2} + 60 m - 0.25 m^{2}

在两边乘以

100

u \cdot 100 = 5000 a - 50 a^{2} + 6000 m - 25 m^{2}

交换两边

5000 a - 50 a^{2} + 6000 m - 25 m^{2} = u \cdot 100

将

u 100

para o lado esquerdo

5000 a - 50 a^{2} + 6000 m - 25 m^{2} - u \cdot 100 = 0

改写成标准形式

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

- 50 a^{2} + 5000 a + 6000 m - 25 m^{2} - u \cdot 100 = 0

使用求根公式求解

a_{1, 2} = \frac{- 5000 \pm 500 0 ^{2} - 4 ( - 50 ) ( 6000 m - 25 m ^{2} - u \cdot 100 )}{2 ( - 50 )}

化简

500 0^{2} - 4 (- 50) (6000 m - 25 m^{2} - u \cdot 100) : 25000000 + 200 (6000 m - 25 m^{2} - 100 u)

a_{1, 2} = \frac{- 5000 \pm 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{2 ( - 50 )}

将解分隔开

a_{1} = \frac{- 5000 + 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{2 ( - 50 )}, a_{2} = \frac{- 5000 - 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{2 ( - 50 )}

a = \frac{- 5000 + 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{2 ( - 50 )} : - \frac{- 5000 + 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}

a = \frac{- 5000 - 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{2 ( - 50 )} : - \frac{- 5000 - 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}

二次方程组的解是:

a = - \frac{- 5000 + 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}, a = - \frac{- 5000 - 25000000 + 200 ( 6000 m - 25 m ^{2} - 100 u )}{100}

作图

流行的例子

(a-b)*x^2+(b+c-a)x-c=0

(a - b) \cdot x^{2} + (b + c - a) x - c = 0

(3/5 x-2/3)^2= 5/6

(\frac{3}{5} x - \frac{2}{3})^{2} = \frac{5}{6}

solvefor u,1+d^2u^2=(1+(d^2)/2)^2

so l v e f or u, 1 + d^{2} u^{2} = (1 + \frac{d ^{2}}{2})^{2}

solvefor x,(6x+3y+2z)^2=49

so l v e f or x, (6 x + 3 y + 2 z)^{2} = 49

x^2+(98-m)^2=41

x^{2} + (98 - m)^{2} = 41