The solutions of the equation
² - 16 = 0is 4/3 and -4/3 and that of the equation
is 8 and -4.
Solving the both quadratic equations by extracting square roots:

⇒
∴ On taking square-root of both sides, we get
= 
⇒
and 
⇒
= 4/3 and
= -4/3
For the equation,
, the solution is:

⇒ 
∴ On taking square-root of both sides, we get

⇒ (z - 2) = 6 and (z - 2) = -6
⇒ z = 6 +2 and z = -6 + 2
⇒ z = 8 and z = -4
The solution of the equation
is 4/3 and -4/3.
The solution of the equation
is 8 and -4.
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Answer:
8 games
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Total amount = $150
Spent on Parking = 1/5 or 20% = $150 × 20% = $30
Spent on admission = $37
Spent on food = 40% = $150 × 40% = $60
Spent on admission in waterpark = $10
Each game cost = $1.5
So, let number of games played be X, then
$30 + $37 + $60 + $10 + $1.5X = $150
$137 + $1.5X = $150
1.5X = $150 - $137
1.5X = $13
X = $13 ÷ 1.5 = 8.67 or 8 games
Hence, Henry can play 8 games.
Answer:
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