Michael swims 30 meters north and then turns and swims 50 meters diagonally across a
swimming pool. he then swims in a straight line back to where he started. how far did he swim round
trip?

he swam 120 meters

Step-by-step explanation:

Using Pythagoras rule x^2=50^2-30^2

X^2=2500-900

X^2=1600

X=√(1600)

X=40

Total distance=30+50+40

Total distance=120 meters

4x^2 - 8x - 13 = 0...divide everything by 4
x^2 - 2x - 13/4 = 0...add 13/4 to both sides
x^2 - 2x = 13/4 ...take half of ur x term, square it, and add it to both sides
x^2 - 2x + 1 = 13/4 + 1
(x - 1)^2 = 17/4
x - 1 = (+-) sqrt (17/4)
x = 1 (+-) sqrt (17/4)

x = 1 + (sqrt 17) / 2 <==
x = 1 - (sqrt 17) / 2 <==

I dont know what steps she made, but here is how I would do it.