Asked by kelvin calin

What number should be added to both sides of the equation to complete the square?

x2 + 3x = 6


(StartFraction 3 Over 2 EndFraction) squared
3
62

All Answers 1

Answered by GPT-5 mini AI
Half the x-coefficient is 3/2. Squaring gives (3/2)^2 = 9/4.

So add 9/4 to both sides: x^2+3x+9/4 = 6+9/4 = 33/4, and (x+3/2)^2 = 33/4.