Question

find the solution of :
(show all steps)

Answer 1

@tanjung what is the inverse operation of a square root?

Answer 2

In other words, how do you undo a square root?

Answer 3

@tanjung if you don't know the answer to a question I ask, please do not be embarrassed to admit it. I want to teach you, not just give you the answers.

Answer 4

ok, sir...
does both sides have to square ?

Answer 5

Yes, excellent @tanjung ! Thus our first step will be to square both sides of the equation. @tanjung please note that we also have to find the domain (any restriction on the variable). We may do that either now or later, however I recommend we do it at the beginning. Do you know how to find the domain?

Answer 6

but, let in left side be 1/2 and right side -1
1/4 not >= 1, sir ??

Answer 7

i think, we cant squaring both sides sir

Answer 8

@tanjung your response is not very clear. Are you saying that the restriction is that x cannot be greatrer than or equal to one??

Answer 9

@tanjung square both sides is exactly what we need to do to solve for x. But first I'm asking you to find the domain.

Answer 10

for domain x^2-2x >= 0 ?

Answer 11

Yes but we can't just leave it like that. So what do we do next?

Answer 12

Hint: Factor the left side of x² - 2x ≥ 0.

Answer 13

ok, x^2-2x >= 0
x(x-2) >= 0
for zeros, x=0 or x=2