Manipal MET2012MathematicsBasics of Mathematics
The number of solutions of ₄(x-1)= ₂(x-3) is
Options
- A3
- B1
- C2
- D0
Correct answer
B. 1
Step-by-step solution
array lc ₄ & (x-1)= ₂(x-3)= _ 4^ 1 / 2 (x-3) & ₄(x-1)=2 ₄(x-3) & ₄(x-1)= ₄(x-3)^2 & (x-1)=(x-3)^2 & x^2+9-6 x=x-1 & x^2-7 x+10=0 & (x-2)(x-5)=0 & x=2 or x=5 array Hence, x=5[ x=2 makes (x-3) undefined. ]