Question

y squared = - 7
solve for Y

Answer 1

If this is in the real number system then there is no solution since
\[y^2= positive\] for real numbers
For Complex numbers it would be
\[y=\pm \sqrt{(-1)(7)}=\pm i\sqrt{7} \]

Answer 2

Okay, sorry, my daughter didn't give me the full equation. It is
-(ysquared-2) = ysquared -5-2ysquared

Answer 3

\[-(y^2-2)=y^2-5-2y^2\]
?

Answer 4

Correct

Answer 5

The answer should then be no solution since
\[-y^2 +2 = y^2-2y^2 -5 \to -y^2=-y^2-7\to y^2 = y^2+7\]
There is no value of y that when you square y^2 will equal itself squared plus a number y^2 +7.