What is the number of solutions of ₄(x-1)= ₂(x-3) ?

Step-by-step solution

₄(x-1)= ₂(x-3) aligned & 1 2 (x-1)= ₂(x-3) & ₂(x-1)= ₂(x-3)^2 & x-1=x^2-6 x+9 & x^2-7 x+10=0 & x^2-5 x-2 x+10=0 & x(x-5)-2(x-5)=0 & (x-5)(x-2)=0 aligned [ array l x 2 because x-3 0, x 3 array ] array ll & x=2,5 & x=5 array Hence, one solution.