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:
y = 2x + 7
Step-by-step explanation:
Find the slope with y2-y1/x2-x1, which is 2
Find y intercept, which is 7
Answer:
23 thousandths. <em><u>=</u></em><em><u> </u></em> 23 ÷ 10^3
9+4 × (6÷3) <em><u>></u></em> (9+4×6) ÷ 3
5 tens + 2 hundredths. <em><u><</u></em> 50.20
810.6 ÷ 10. <em><u>=</u></em> 8.106 × 10
Yes, this looks to be done correctly.