Homework SourseComplete the square 12x214x30 Complete the square 12x214x30
Complete the square 1/2x^2+1/4x+3=0
Complete the square 1/2x^2+1/4x+3=0
Solution
x^2/2 + x/4 +3 =0
taking out 1/2 as common:
1/2[ x^2 +x/2 ] +3 =0
1/2[ x^2 +x/2 +1/16 -1/16] +3 =0
1/2[x +1/4]^2 - 1/32 +3 =0
multiply by 2 on LHS
[x+1/4]^2 + 6 -1/16 =0
[x+1/4]^2 + 95/16 =0
[x+1/4]^2 = -95/16
complteted the square on LHS
![Complete the square 1/2x^2+1/4x+3=0 Complete the square 1/2x^2+1/4x+3=0 Solutionx^2/2 + x/4 +3 =0 taking out 1/2 as common: 1/2[ x^2 +x/2 ] +3 =0 1/2[ x^2 +x/2](/WebImages/16/complete-the-square-12x214x30-complete-the-square-12x214x30-1029620-1761533467-0.webp "Complete the square 1/2x^2+1/4x+3=0 Complete the square 1/2x^2+1/4x+3=0 Solutionx^2/2 + x/4 +3 =0 taking out 1/2 as common: 1/2[ x^2 +x/2 ] +3 =0 1/2[ x^2 +x/2")
