Solve -2=3-7^5radical x^2

-2=3-7^5 radical x^2

-2=3-16807radical x^2

-2=3-16807 • IxI

Reduce the index of the radical and the exponent with 2

16807 x |x| - 2 = 3
Move to left side

16807 x |x| - 2 + 2 = 3 + 2
Add 2 to both sides

16807 x |x| = 5

|x| = 5/16807
Divide both sides by 16807

x= 5/16807

x= -5/-16807 (only use one negative)

Use the absolute value definition and rewrite the absolute value equation as two separate equations

X_1 = 5/16807

X_2 = -5/16807

“_” underscores are meant to be subscripts

No solution : there is no number of boxes that she bought