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Elis [28]
3 years ago
10

. Factor as the product of two binomials. x2 + 8x + 12 =

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0

Answer:

(x+6)(x+2)

Step-by-step explanation:

x^2+8x+12= x^2+6x+2x+12

                 =x(x+6)+2(x+6)

                 =(x+6)(x+2)

LenKa [72]3 years ago
4 0
X^2+8x+12
= (x+6)(x+2)
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In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified.1) dy/dt = (y + 3)/(1 - y)2) dy/dt =
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Answer:

1. Equilibrium solution: y= -3

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Step-by-step explanation:

Thinking process:

The equilibrium solution can only be derived when \frac{dy}{dt}  = 0

1. Let's look at the first equation:

\frac{dy}{dt} = \frac{(y+3)}{(1-y)}

equating \frac{dy}{dt}  = 0 to the expression \frac{(y+3)}{(1-y)} gives

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2. Let's look at the second solution:

\frac{dy}{dy} = \frac{(t^{2}- 1) (y^{2}-2) }{y^{2}-4 }

dividing each side by (t²-1) gives

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factorizing the right hand side gives:

at equilibrium:  \frac{dy}{dt}  = 0, then

y² - 2 = 0

solving for y gives y = ±√2

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