What is the solution of the linear-quadratic system of equations?
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OpenStudy (anonymous):
OpenStudy (anonymous):
HELP!
OpenStudy (anonymous):
@mathstudent55 help!
OpenStudy (anonymous):
@nubeer @phi
OpenStudy (abb0t):
use substitution method to solve this.
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OpenStudy (abb0t):
substitute y = x+2
OpenStudy (anonymous):
im confused :P
OpenStudy (abb0t):
actually, u can just substitte the first equation into the second one much more easier.
you see how it says y = ____ for the first one. just take that whole polynomial and put it on the second in place of "y". and solve.
OpenStudy (anonymous):
oh. okay! hold on lemme try!
OpenStudy (anonymous):
so like: x^2+5x-3=x^2+5-3-x=2?
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OpenStudy (anonymous):
@ganeshie8
ganeshie8 (ganeshie8):
y = x^2+5x-3 -------(1)
y-x = 2 ------------(2)
ganeshie8 (ganeshie8):
from (2),
y = x+2
substitute this value in (1) for y
=>
x+2 = x^2 + 5x -3
x^2 + 4x -5 = 0
solve this equation for x values
OpenStudy (anonymous):
okay :)
ganeshie8 (ganeshie8):
x^2 + 4x -5 = 0
x^2 +5x - x -5 = 0
x(x + 5) -1(x+5) = 0
(x+5)(x-1) = 0
x = -5 or 1
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OpenStudy (anonymous):
thank you so much :)
ganeshie8 (ganeshie8):
substitute these two x values in (2), to get y values
x = -5 => y = ?
x = 1 => y = ?
can u find y ha..
OpenStudy (anonymous):
i think so :P lol
ganeshie8 (ganeshie8):
good, then :)
ganeshie8 (ganeshie8):
after finding y values, u need to show solutions as ordered pairs like this : - (x1, y1) , (x2, y2)
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OpenStudy (anonymous):
-3?? lol
ganeshie8 (ganeshie8):
thats one y value, find second also
OpenStudy (anonymous):
and y=3
ganeshie8 (ganeshie8):
perfect ! so the solution set is ?
OpenStudy (anonymous):
can you help with this one? Simplify the number using the imaginary unit i.
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