Radicals Challenge

Mathematical Equivalence

OFF

Mathematical Equivalence

OFF

(-8-2x)^1/2=(-3-x)^1/2

• x=-5 with not extraneous solutions

• x=5 with an extraneous solution of -5

• x=-5 with an extraneous solution of 5

• x= 5 with no extraneous solutions

• no solution with extraneous solution of -5 and 5

(110-x)^1/2=x

• x= -10,10 with on extraneous solutions

• x= -10 with one extraneous solution of 10

• x=10

• x=10 with one extraneous solution of -10

• No solution, one extraneous solution of 10

x-7=(3x-21)^1/2

• x= 7,10 with no extraneous solutions

• x=7 with an extraneous solution of 10

• x=10 with an extraneous solution of 7

• x= -7,-10 with no extraneous solution

• No solution, with extraneous solutions of 7 and 10

x-5=(x+1)^1/2

• x= -3, 8 with no extraneous solutions

• x= -8,3 with no extraneous solutions

• x=3 with an extraneous solution of -8

• x= 8 with an extraneous solution of -3

• No solution with an extraneous solutions of -8 and 3

(7x-54)^1/2-x=-6

• x=9,10 with no extraneous solutions

• x=9 with an extraneous solution of 10

• x=9

• x=10

• x=10 with an extraneous solution of 9

4+(-3x+10)^1/2=x

• x= 2.3 with no extraneous solutions

• x=2 with an extraneous solution of 3

• x=3 with an extraneous solution of 2

• No solution with extraneous solution of -2 and -3

• No solution with extraneous solution of 2 and 3

(125x)^1/3+10=15

• x=1 with no extraneous solutions

• x=-1,1 with no extraneous solutions

• x=1 with an extraneous solution of -1

• x= -1 with no extraneous solutions

• No solution, with an extraneous solution of -1

3=x^1/2

• x=9 with no extraneous solutions

• x=9 with extraneous solution of -9

• x= -9 and 9 with no extraneous solutions

• x=-9 with no extraneous solutions

• No solution with extraneous solutions of -9 and 9