Is there a solution for this equation? Please verify my answer and work for this question. I think the answer is D.
If $\sqrt{5x-9} = -4$, then x = ?
Options are
A) 1
B) 2.2
C) 5
D) No solution
The way I solved this problem is by squaring both sides to get rid of the square root. Then I just solve as a regular equation.
$$\sqrt{5x-9} = -4$$ $$(\sqrt{5x-9})^2 = (-4)^2$$ $$5x-9 = 16$$ $$5x = 25$$ $$x = 5$$
I get $x=5$ so would the answer be C but when I plug $x=5$ into the original equation I get a false statement. That's why I would choose D.
$\sqrt{5(4)-9} = -4$
$\sqrt{16} = -4$
$4 = -4$ False statement
Thanks in advance. I hope I formatted the math statements correctly.
