Question

12000=(x)(500+75x)
$12000=(x)(500+75x)$
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Answer 1

Respuesta:

12000=500x+75x^2
500x+75x^2=12000
500x+75x^2-12000=12000-12000
75x^2+500x-12000=0
x_{1,\:2}=\frac{-500\pm \sqrt{500^2-4\cdot \:75\left(-12000\right)}}{2\cdot \:75}
x_{1,\:2}=\frac{-500\pm \:100\sqrt{385}}{2\cdot \:75}
x=\frac{2\left(\sqrt{385}-5\right)}{3},\:x=-\frac{2\left(5+\sqrt{385}\right)}{3}

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