Question

Solve by completing the square: 3 + 2x^2 = -8x

Answer 1

probably want to star with
\[2x^2+8x=-3\] then divide by \(2\) and get \[x^2+4x=-\frac{3}{2}\]

Answer 2

then complete the square as usual
do you know how to do that?

Answer 3

Ok, and no i dont

Answer 4

ok then lets do it
what is half of 4?

Answer 5

2

Answer 6

ok then write
\[(x+2)^2=-\frac{3}{2}+?\] now what is 2 squared

Answer 7

4

Answer 8

yes, so write
\[(x+2)^2=-\frac{3}{2}+4=\frac{5}{2}\]
take the square root of both sides get
\[x+2=\pm\sqrt{\frac{5}{2}}\] then subtract \(2\) from both sides and you are done

Answer 9

ok thank you

Answer 10

yw