Question

9x^2 + 16x = 0 how to complete the square

Answer 1

x(9x+16)=0
9x=-16
x=-16/9 and x=0

Answer 2

what number added to both sides would make the left side a perfect square?

Answer 3

16?

Answer 4

I never thought of it formulaicly, but
\[(3x+\text{_})^2\]you need to fill in the blank so that the middle term would be =16

Answer 5

4^2 = 16

Answer 6

can you show me step by step

Answer 7

well also times 3 and times 2

Answer 8

\[3 \times x \times 2~=16\]

Answer 9

as \[(a+b)^2=a^2+\color{red} {2ab}+b^2\]\[2(3x )~~~~is~~~~your~~~~2ab,~~~~o r~~~~th e~~~~m iddle~~~~term\]

Answer 10

Do you see what i am doing?

Answer 11

yes

Answer 12

\[(3x^2~+~\text{__}~)~\]fill in blank.

Answer 13

I'll tell you, alright....

Answer 14

\[\frac{8}{3}\]

Answer 15

\[(3x+\frac{8}{3})^2=0+(\frac{8}{3})^2\]

Answer 16

can you do it from here?