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lovelycharm
 one year ago
What are the xcoordinates of the solutions to this system of equations?
x2 + y2 = 16
y = x + 4
lovelycharm
 one year ago
What are the xcoordinates of the solutions to this system of equations? x2 + y2 = 16 y = x + 4

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3do a substitution y = x + 4 means we can replace "y" with "x + 4" when we see y, so x^2 + y^2 = 16 x^2 + (x+4)^2 = 16 know where to go from here?

lovelycharm
 one year ago
Best ResponseYou've already chosen the best response.0then u divide the by 4

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3then we can use FOIL to expand (x+4)^2

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3not quite, the ^2 is an exponent (x+4)^2 = (x+4)(x+4) = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3nope, not quite... hint: (x+A)(x+A) = x^2 + 2*A*x + A^2 (x+4)(x+4) = ____________________ fill in the blank

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3almost, you're very close! x^2 + 4x + 4x + 16

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3that simplifies to: x^2 + 8x + 16, with me so far?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3nope, not quite. please remember that x^2 is NOT equal to 2x

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3yes, x^2 + 8x + 16, with me so far?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3no, we just leave it as x^2 + 8x + 16, ok?

lovelycharm
 one year ago
Best ResponseYou've already chosen the best response.0What are the xcoordinates of the solutions to this system of equations? x2 + y2 = 16 y = x + 4 −4 and 0 4 and 0 −2 and −3 2 and −3

lovelycharm
 one year ago
Best ResponseYou've already chosen the best response.0those r the option

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3right, we'll get to that in a minute, ok?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3right now we have: (x+4)^2 = x^2 + 8x + 16 plugging that back into the first equation gives us x^2 + x^2 + 8x + 16 = 16 know where to go from here?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3start by subtracting 16 from each side.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3what about the left side? x^2 + x^2 + 8x + 16  16 = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3nope, maybe this will make things easier: (x^2 + x^2 + 8x) + 16  16 = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3now we have 2x^2 + 8x = 0 solve for x

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3remember what I said earlier? x^2 is NOT 2x

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.32x^2 + 8x = 0 2x(x+4) = 0 solve for x

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3not quite... 2x^2 + 8x is what I gave you to start with

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.32x = 0 divide both sides by 2

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3now we solve (x+4) = 0 x = ?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3subtract 4 from each side

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.3good, so our solutions are 0 and 4
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