Please help.
What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x − y = 10
(−4, −2) and (2, 5)
(−2, −4) and (2, 5)
(−2, −4) and (5, 2)
No Real Solutions
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OpenStudy (anonymous):
the second equation is the same as
\[y=8x-10\] plug it in to the top one and you can solve \[8x-10=x^2+12x+30\]
OpenStudy (anonymous):
I got \[x ^{2}+4x+40\]
OpenStudy (agl202):
No Real Solution!!!!!
OpenStudy (anonymous):
set it equal to zero via
\[x^2+4x+40=0\]
OpenStudy (anonymous):
yeah like that
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OpenStudy (solomonzelman):
subtract 36 from both sides, and complete the square.
OpenStudy (anonymous):
and then @Agl202 tell you that there is no real solution, which is true
OpenStudy (agl202):
sorry
OpenStudy (solomonzelman):
you were right, alg.
OpenStudy (agl202):
thx....
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OpenStudy (solomonzelman):
I was going to say, that from where satelline left off, if you subtract 36 from both sides, and complete the square (as i said before), you will then end up with imaginary solutions.