Answer:
see explanation
Step-by-step explanation:
Given
4
- 5a² + 1 = 0
Use the substitution u = a², then equation is
4u² - 5u + 1 = 0
Consider the product of the coefficient of the u² term and the constant term
product = 4 × 1 = 4 and sum = - 5
The factors are - 4 and - 1
Use these factors to split the u- term
4u² - 4u - u + 1 = 0 ( factor the first/second and third/fourth terms )
4u(u - 1) - 1(u - 1) = 0 ← factor out (u - 1) from each term
(u - 1)(4u - 1) = 0
Equate each factor to zero and solve for u
u - 1 = 0 ⇒ u = 1
4u - 1 = 0 ⇒ 4u = 1 ⇒ u = 
Convert u back into terms of a, that is
a² = 1 ⇒ a = ± 1
a² =
⇒ a = ± 
Solutions are a = ± 1 , a = ± 
Answer:
5 Batches.
Step-by-step explanation:
5*1/6 = 5/6
Isolate the variable by dividing each side by factors that don't contain the variable.
x > 6
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Determining equation B from Equation A</u>
Given the equation A

Apply distributive law
which is equation B
Hence, equation B can be obtained by implementing the distributive law operation on equation A.
<u>Determining equation A from Equation B</u>
Given the equation B

Factor out common term -2 on the right-hand side of the equation
which is the equation A
Hence, equation A can be obtained by factoring out the common term -2 on the right-hand side of equation B.