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受欢迎的代数 >

14000=0.125x^2+20x+5000

解答

14000 = 0.125 x^{2} + 20 x + 5000

解答

x = 200, x = - 360

求解步骤

14000 = 0.125 x^{2} + 20 x + 5000

在两边乘以

1000

14000000 = 125 x^{2} + 20000 x + 5000000

交换两边

125 x^{2} + 20000 x + 5000000 = 14000000

将

14000000

para o lado esquerdo

125 x^{2} + 20000 x - 9000000 = 0

因式分解

125 x^{2} + 20000 x - 9000000 : 125 (x - 200) (x + 360)

125 (x - 200) (x + 360) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 200 = 0 or x + 360 = 0

解

x - 200 = 0 : x = 200

解

x + 360 = 0 : x = - 360

二次方程组的解是:

x = 200, x = - 360

作图

流行的例子

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(185) (130 - x) = (266.67) (45 - x)^{2}

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f a c t or 3 x^{3} - 15 x^{2}

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