Solve x^4 - 3x^2 +2 = 0 using substitution.
1 answer:
Answer:
x = ± 1 , x = ±
Step-by-step explanation:
Let u = x² , then
- 3x² + 2 = 0 , can be expressed as
u² - 3u + 2 = 0 ← in standard form
(u - 1)(u - 2) = 0 ← in factored form
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
u - 2 = 0 ⇒ u = 2
Change the variable u back to x
x² = 1 ( take square root of both sides )
x = ± 1
or
x² = 2 ( take square root of both sides )
x = ±
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Answer:
a)The company has to 250 cameras in one day to equal its daily cost
b)Their daily profit will be $400
Step-by-step explanation:
Given:
overhead expenses = $1500
labour and materials expenses = $9
cameras sell for $15 each
To Find:
(a)How many cameras must the company sell in one day to equal its daily cost
(b) If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Solution:
a) let the number of cameras sold per day be x
Total daily cost = overhead expenses +labour and materials expenses
Total daily cost = 1500 + 9x--------------------------(1)
Total daily revenue = 15x------------------------------(2)
Equating (1) and (2)
1500 + 9x = 15x
1500 = 15x- 9x
1500 = 6x
x=
x= 250
So, the company has to 250 cameras in one day to equal its daily cost.
b) increasing production by 50 cameras per day will give a daily profit of
=>50 X (17-9)
=>50 X 8
=> 400