Question

solve the equation for x. identify any extraneous solutions.
√x = -2

Answer 1

square both sides

Answer 2

@SolomonZelman both sides squared would be x=-4

Answer 3

@SolomonZelman ??

Answer 4

(-2) ^2 = -2 * -2

Answer 5

are you sure its -4?

Answer 6

This has no solution, the sqrt of a number must be greater than 0

Answer 7

@dan815 um i just typed in -2^2 on my calculator and it gave me -4.??

Answer 8

(-2)^2

;)

Answer 9

type (-2)^2

Answer 10

-2^2 = -1*2^2 which is not the same as-2*-2 = -1*2*-1*2

Answer 11

@dumbcow @dan815 okay so 4 would be a solution? because i typed in (-2)^2 on my calculator and it gave me 4.

Answer 12

square (cube or any other) root of a number doesn't have to be greater than 0.

Answer 13

yes but i hope this makes sense just remembeer for now that -1 * -1 = 1

Answer 14

by default, there is no real value that gets us to sqrt(x)= -2 since the range of sqrt(x) 0 and above: