Answer:
Katie will collect more than 100 seashells in 5 and a half days.
Step-by-step explanation:
Katie already has 34 seashells in her collection.
Each day, she finds 12 more seashells on the beach.
Let x be the number of days Katie is collecting seashells.
In x days, she will collect 12x seashells.
In total, she will collect
seashells.
Katie wants to collect over 100 seashells, so

Solve this inequality. Subtract 34:

Katie will collect more than 100 seashells in 5 and a half days.
A) x² + y² = 327
B) x * y = 101
Solving equation B for y²
B) y² = 10,201 / x²
Substituting this into equation A)
x² + 10,201 / x² = 327
x^4 + 10,201 = 327x²
x^4 -327x² + 10,201 = 0
Using the quartic equation calculator: http://www.1728.org/quartic.htm
x1 = 17.090169943749476
x2 = 5.909830056250525
x1 * x2 = 101
x1 + x2 = 23
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440