What are the solutions of the equation x4 + 6x2 + 5 = 0? Use u substitution to solve.
1 answer:
Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x = = i
x² = - 5 ⇒ x = = i
You might be interested in
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
⇒
⇒
Now, taking log both sides we get,
y log 1.12 = log 3 {Since, }
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)
Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are as seen in the graph.
Coordinates of B are as seen in the graph.
Now, distance formula for two points is:
Therefore, the horizontal line at the top is 6 units long.
