Question

(3/2p-2)-1=(1/p-1)+2
How do I solve for p??

Answer 1

p=4+ 22‾‾‾√ 3,4− 22‾‾‾√ 3
p≈2.89680525,−0.23013859

Answer 2

Let's solve your equation step-by-step.
32p−2−1=1p−1+2
32p−3=p+1p
Step 1: Multiply both sides by p.
32p2−3p=p+1
32p2−3p−(p+1)=p+1−(p+1)(Subtract p+1 from both sides)
32p2−4p−1=0
p=−b±b2−4ac2a(Use quadratic formula with a=1.5, b=-4, c=-1)
p=−(−4)±(−4)2−4(1.5)(−1)2(1.5)
p=4±223
p=2.896805253274477,−0.23013858660780992
Check answers. (Plug them in to make sure they work.)
p=2.896805(Works in original equation)
p=−0.230139(Works in original equation)
Answer:
p=2.896805 or p=−0.230139