complete the square 4x^2+5x+2
Enter your answer in the form a(x+u)^2+v , where a,u and v are replaced by numbers.
+23245 Complete the square of 4x2 + 5x + 2
Step 1: Separate the 4x2 + 5x part from the 2: [ 4x2 + 5x ] + 2
Step 2: Factor out the 4 from the first part: [ 4(x2 + 5/4x) ] + 2
Step 3: Complete the square of x2 + 5/4x
-- Divide 5/4 by 2 ---> 5/8
-- Square this result ---> 25/64
Step 4: Be careful when putting this into the parentheses, because this value will be multiplied by 4, so you'll
have to subtract out 4 · 25/64 = 25/16 to keep the expression balanced:
[ 4(x2 + 5/4x + 25/64) ] + 2 - 25/16
Step 5: Simplify: 4(x + 5/8)2 + 7/16
