Complex Numbers And Quadratic Equations question 21

Question: The smallest value of $ x^{2}-3x+3 $ in the interval $ (-3,3/2) $ is [EAMCET 1991; 93]

Options:

A) 3/4

B) 5

C) -15

D) -20

Show Answer

Answer:

Correct Answer: A

Solution:

$ x^{2}-3x+3={{( x-\frac{3}{2} )}^{2}}+\frac{3}{4} $ Therefore, smallest value is $ \frac{3}{4} $ , which lie in $ ( -3,\frac{3}{2} ) $