Question

Please help !

Solve the following equation for p: 4p^4-25p^2=-16p^2

A- p=0 or p=3/2 or p=-3/2
B- p=0 or p=4 or p= -4
C- p=3/2 or p= -3/2
D- p=0 or p=3/2 or p=3/2

Answer 1

`4p^4-25p^2=-16p^2\ \ \ \ |+16p^2\\\\4p^4-9p^2=0\\\\p^2(4p^2-9)=0\iff p^2=0\ \vee\ 4p^2-9=0\\\\p^2=0\to p=0\\\\4p^2-9=0\ \ \ |+9\\\\4p^2=9\ \ |:4\\\\p^2=(9)/(4)\to p=\pm\sqrt{(9)/(4)}\to p=-(3)/(2)\ \vee\ x=(3)/(2)`

Answer: A- p=0 or p=3/2 or p=-3/2