Someone please explain the proper solution for this equation?

Question

(7) ^1.2y^2-6y-13(7)^1/2=0

I need help with this and justifying the solutions and why.

Answer 1

7^1.2 y^2 - 6y -13*sqrt(7)= 0
Use quadratic formula:
x = [6 +/- sqrt(6^2 -4(7^1.2)(-13sqrt(7))]/(2*7^1.2)
x = [6 +/- sqrt(36 +52*7^1.2*sqrt(7))]/2*7^1.2
The above is the exact answer. If you want an approximate answer then
x = [-6 +/- 38.17]/20.66