Assignment

Module Three Closing Discussion Board

by Alyssa R

​Operations with imaginary numbers: addition, subtraction, and multiplication

What is I

• The root of -4 has no answer in the set of real numbers but the square root of -4 has an ansewer in the set of imagin numbers.

​Example problem

​i² = -1

​2i+4i=6i

​2i-4i=-2i

​2i(4i)=8i² = 8(-1)=-8

​(2+3i)(4+5i)=

​Real-world applications of quadratics

​ Jane plays softball. She hits the ball upward from a height of 5 feet with an initial velocity of 10 feet per second. The formula below represents this situation.

​ h(t)=-16t² + 10t - 5

​t= time h(t)= hight in t seconds

​

​Find the time it takes the ball to reach its maximum height.

​.312 seconds

​Real-world applications of quadratics

​A marine goes on a mission in a submarine. He starts 1000 ft above the water. He dives with an initial downward of 9 feet per second.

​d(t)=-32² + 18t + 1000

​find the time it takes for the marine to hit the water.

​