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Mathematics
Nehemiah Bailey
11 March, 16:24
Complete the Square: x^2+6x=7
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Bub
11 March, 18:26
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X^2+6x=7 Half the middle term which 6. And square the result 6/2 = 3 3^2 = 9 This 9 will be added in the left side after the 6x. And also to be added at the right side. Because there is a rule that what you did in left side is you need to to in the right side to be equal. X^2+6x + 9 = 7 + 9 Convert the left side equation into squared and the other side add the two numbers (X+3) ^2 = 16 Squared both sides to remove tye 2 X+3 = + and - 4 You need to right two signs
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Kyra Hanson
11 March, 19:47
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So if in ax^2+bx+c form then
for the completing the square
(b/2) ^2=c so
if b=6 then
b/2=6/2=3
(b/2) ^2 = (6/2) ^2 = (3) ^2=9
so c=9
x^2+6x=7
add 9 to both sides
x^2+6x+9=16
so factor and get
(x+3) ^2=16
for fun solve
16=4^2
(x+3) ^2=4^2 or - 4
square root both sides
x+3=4 or - 4
solve 2 equaitons
1. x+3=4
sutract 3 from both sides
x=-1
2. x+3=-4
subtract 3 from both sides
x=-7
x=-1 or - 7
solution set=S=x=-1,-7
answer is x^2+6x+9=16
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