Question

2x^2 + 7x = 4 how do i solve this by completing the square?

Answer 1

a^2+2ab+b^2

Answer 2

a=2
find out what b is

Answer 3

thats not by completing the square tho is it ?

Answer 4

this method will help you in long term but if you want shortcut I can show you

Answer 5

would you rather learn shortcut?

Answer 6

i just want to know the step by step because i have the answers in the back of the book i just cant get the right answers but my math is all correct

Answer 7

Short cut
1) Factor out 2
2(x^2 + 7/2x)
2) Take Half of x term
7/2 * 1/2 is 7/4

3) Square it
49/16

4) Since you added(49/16 * 2) you also need add to other side
4+49/8

Answer 8

okay let me write that down

Answer 9

now what

Answer 10

You have just completed a square
2(x^2+7/2x+49/16)

Factor
2(x+7/4)^2=4+49/8

Answer 11

Divide both side by 2
then I think you can take it from there

Answer 12

so it be (4+ 49/8) / 2?

Answer 13

Yes

Answer 14

okay i got 5.0625

Answer 15

thanks!