Do we still need to write plus or minus when solving this equation including a square root?

2k Views Asked by At

When solving an example like the attached picture, we say x is +/- answer.

enter image description here

But if the equation is $$x+4=\sqrt{9/16}$$ Are we supposed to write plus or minus in this case too?

1

There are 1 best solutions below

0
On

No. $\sqrt{\frac9{16}}$ is just the non-negative real number $\alpha$ such that $\alpha^2=\frac9{16}$, and that's why the solution to $x^2=4$ is $x=\pm\sqrt4$. The expression $x+4=\sqrt{\frac9{16}}$ just means $x+4=\frac34$.