Bao You is completeing the square to solve equation x^2-x-3=0 What should her first step be?
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the equation:
x^2 - x - 3 = 0
Complete the square to solve the equation.
Solution:
In order to complete the square, we simply needed to add 3.25 on both sides of the equation. This will make -3 become ¼.
x^2 - x - 3 = 0
x^2 - x - 3 + 3.25 = 3.25
x^2 - x + 0.25 = 3.25
Now we can complete the square by factoring in the equation.
( x - ½)^2 = 2.75
Final answer:
( x - ½)^2 = 2.75