I hope this helps you
Which multiplication has a negative answer?
2 answers:
You might be interested in
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : - 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 : - 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
Answer:
Step-by-step explanation:
Given that during the period from 1790 to 1930, the US population P(t) (t in years) grew from 3.9 million to 123.2 million. Throughout this period, P(t) remained close to the solution of the initial value problem.
a) 1930 population is the population at time t = 40 years taking base year as 40
We can solve the differential equation using separation of variables
Resolve into partial fractions
Integrate to get
ln P -0.00474/0.0001489 (ln (0.0001489P-0.03135) = t+C
ln P -31.833 (ln (0.0001489P-0.03135) =t+C
Limiting population would be infinity.