Answer:
3
Step-by-step explanation:
Set up an equation for the scenario
[tex](2x)^2 - (x) = 33[/tex]
Solve for x by factoring
[tex](2x)^2 - x - 33 = 0[/tex]
[tex]4x^2 - x - 33 = 0[/tex]
[tex]4x^2+11x-12x-33[/tex]
[tex](4x^2+11x)(-12x-33)[/tex]
[tex]x(4x+11)-3(4x+11)[/tex]
[tex](4x+11)(x-3)[/tex]
[tex]x-3=0[/tex]
[tex]x=3[/tex]
plug back in
[tex](2(3))^2 - (3) = 33[/tex]
[tex](2(3))^2 = 36[/tex]
[tex](2(3)) = \sqrt{36}[/tex]
[tex]2(3) = 6[/tex]
[tex]6 = 6[/tex] ✔️
