Question

The roots of y in the equation y2−2y=-9/2 are ?

Answer 1

are you familiar with the quadratic equation, or completing the square?

Answer 2

no i am not fimiliar

Answer 3

Complete the square or use quadratic formula.

Answer 4

i dont know what complete the square is.

Answer 5

Are you learning about imaginary numbers?

Answer 6

somewhat yes.

Answer 7

ok is that a y2 or a \[y^{2}\]

Answer 8

y^2

Answer 9

ok lets use the Quadratic formula

Answer 10

a=1
b=2
c=-9/2

Answer 11

\[\frac{ -b \pm \sqrt{b ^{2}-4(a)(c)} }{2 (a) }\]

Answer 12

shouldnt b=-2?

Answer 13

yes sorry i messed up

Answer 14

a=1
b=-2
c=-9/2

Answer 15

\[\frac{ 2\pm \sqrt{2^{2}-4(1)(\frac{ -9 }{ 2 })} }{ 2(1) }\]

Answer 16

okay this is where i start to get confused

Answer 17

ok lets work throughout it by sections

Answer 18

okay

Answer 19

lets start here
\[\sqrt{2^{2}-4(1)(-\frac{ 9 }{ 2 })}\]

Answer 20

\[\sqrt{4+18}\]

Answer 21

\[\sqrt{22}\]

Answer 22

\[\sqrt{22}\]

Answer 23

\[\frac{ 2 \pm \sqrt{22} }{ 2 }\]

Answer 24

okay im not sure what this equals

Answer 25

I'm sorry i messed up again the -9/2 should have turned positive so it would have been \[\sqrt{4-18}\]

Answer 26

\[\sqrt{-14}\]

Answer 27

\[\frac{ 2\pm \sqrt{-14} }{ 2 }\]

Answer 28

\[\frac{ 2\pm \iota \sqrt{14} }{ 2 }\]

Answer 29

that is as low as it will go

Answer 30

okay thanks so much!!!

Answer 31

no problem!