Question

Solve the equation by completing the square.
2x^2 + 9x + 1 = 0
x = (smaller value)
x = (larger value)

Answer 1

ok... start by dividing each term by 2... what do you get..?

Answer 2

x+9/2+1/2=0

Answer 3

its is undefine?

Answer 4

not quite

its

\[x^2 + 4.5 x + 0.5 = 0\]

next subtract 0.5 from both sides...what do you get..?

Answer 5

x^2 + 4.5 = 0.5

Answer 6

a perfect square when expanded is

\[(a + b)^2 = a^2 + 2ab + b^2\]

Answer 7

not quite its

\[x^2 + 4.5x = -0.5\]

does that make sense?

Answer 8

iy eoulf look like x^2+4.5x+b2 = -0.5?

Answer 9

it would*

Answer 10

if you are working in fraction the equation is

\[x^2 + \frac{9x}{2} = - \frac{1}{2}\]

Answer 11

yes... so you need to find 4.5/2 =

Answer 12

2.25

Answer 13

ok... to complete the square you now need to add (2.25)^2 to both sides...

Answer 14

x^2 + 4.5 + 225 = - 0.5 +225

Answer 15

2.25 i mean

Answer 16

so that you will have

\[(x + 2.25)^2 = -0.5 + (2.25)^2\]

Answer 17

so the next step is

\[(x + 2.25)^2 = 4.5625\]

you just need to solve for x...

Answer 18

square root?

Answer 19

to take out the power of 2