x-10=√9

Hi guys! Sorry about that, oops!

So as Alan and Melody both pointed out, in this equation √9 would equal only positive 3.

As a result, x = 13

x-10=√9

First add 10 to both sides.

x = 10 + √9

now √9 is equal to plus or minus 3, since (-3)² and (3)² both equal 9. However, positive 3 is called the principal (main) square root.

So technically there are two equations: x = 10 + 3  or  x = 10 + (-3)

So x = 13  or  x = 7

Actually kitty, the general convention is that √9 is just 3 not -3.  If we have an equation like x² = 9 then there are two possible values of x, namely ±√9.  However, the √9 part is just 3 {otherwise we'd have the situation that x = ±(±3), or even worse the infinite regression: x = ±(±(±(±......(±√9)....))) !!!!!}

All you have to remember Kitty is that if the $$\sqrt{\:\:\: }$$  is written in the question the answer is positive.

If you insert the $$\sqrt{\:\:\: }$$  yourself as a part of a solution then there are two solutions. One positive and one negative.

so

x-10=+3

x=13

 I'll give you your points now but please fix your answer Kitty.