MHB Solve sqrt (x+ a) = x −7 when a=-1

[rebo1984]

Hi,

If a = -1, what is the solution set of the equation sqrt (x+ a) = x −7

{5}
{10}
{5, 10}
No solution(5,10) correct?

Thanks

 

[MarkFL]

Hi,

If a = -1, what is the solution set of the equation sqrt (x+ a) = x −7

{5}
{10}
{5, 10}
No solution(5,10) correct?

Thanks

What do you get when you substitute each potential solution into the original equation?

 

[rebo1984]

What do you get when you substitute each potential solution into the original equation?

It works out.

 

[MarkFL]

It works out.

Let's try \(x=5\):

$$\sqrt{5-1}=5-7$$

$$2=-2$$

Is this true?

 

[HOI]

It works out.

What "works out"? Which answer did you get?