Question

COnfused a bit plz help

Answer 1

@mathstudent55

Answer 2

I can help

Answer 3

@563blackghost by which number on the other side?

Answer 4

oh ok so now what was once x^2 is now just 9?

Answer 5

@563blackghost

Answer 6

hello??? you were just here...

Answer 7

@563blackghost

Answer 8

@YoungStudier @jigglypuff314

Answer 9

@meeep

Answer 10

@K12IsAwesome

Answer 11

Im sorry but I do not know how to solve this...I was just responding on how to similify a variable by the power of 2...

Answer 12

@triciaal please help?:-)

Answer 13

@XhawaiiangirlX

Answer 14

@agent0smith

Answer 15

@AndrewIsHere @richgall____ @JJ_Diamond

Answer 16

okay so is this a two part question

Answer 17

yes

Answer 18

note that both the expressions in x are equal to y
so by the transitive property of equality
-x^2 + 4 = 2x + 1

Answer 19

you now have a quadratic equation
rearranging we get
x^2 + 2x - 3 = 0

can you solve this for x?

Answer 20

so for the solutions i used the quadratic equation and got {1 and -3}

Answer 21

would that be my final result?

Answer 22

@welshfella

Answer 23

those are the 2 possible values of x
to find the corresponding values of y just plug in 1 and -3 into the first original equation and work out y

Answer 24

so one value of y would be - (1)^2 + 4 = -1+4 = 3

so one of the soltution sets is (1,3)

Answer 25

find the other using x = -3

Answer 26

i need to find the value for x now right?

Answer 27

no - you need the value for y using x = -3

Answer 28

i plugged in (-3) to my original problem and I got 0...

Answer 29

y = -(-3)^2 + 4 = -9 + 4 = ?

Answer 30

oh ok i got 1 now

Answer 31

so you can write the solution as
x =1 , y = 3
and
x = -3 , y = -5

or just (1,3) , (-3,-5)

Answer 32

ok, thank you! I get it now I had a brain fart for a moment haha- thanks for the help!

Answer 33

yw

Answer 34

wouldn't the solution for the first one be {1,-3} thought?

Answer 35

because that is what i got when i plugged it into the quadratic equation I got 1 and then -3

Answer 36

No
- you can plug into the second equation if you like ( that would be easier!)

y = 2x + 1
y = 2(1) + 1 = 3

Answer 37

oh ok, i tried and got that too- thanks

Answer 38

tyhe solutions correspond to 2 points on graph of the 2 equations
it might look something like