Mathematics
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OpenStudy (anonymous):
What are the solutions of the quadratic equation?
x2 + 11x = –24 (Multiple Choice)
◘ -3, -8
◘ -3, 8
◘ 3, -8
◘ 3, 8
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OpenStudy (anonymous):
1st step?
OpenStudy (anonymous):
That is actually x^2
OpenStudy (anonymous):
try and i will help
OpenStudy (anonymous):
I have no idea where to even start with this, honestly.
OpenStudy (anonymous):
you need to make it look like this
x^2 + bx + c =0
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OpenStudy (anonymous):
Umm, how do you do that?
OpenStudy (anonymous):
x^2 + 11x = –24
add 24 to both sides
OpenStudy (anonymous):
so its x^2 + 11x + 24 = 0 ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
now what are the 2 numbers that
what numbers can make 24 a*b
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OpenStudy (anonymous):
8 and 3
OpenStudy (anonymous):
so its (x + 3)(x + 8) = 0
OpenStudy (anonymous):
yes
but -3 and -8 also make 24, why did you choose 8 and 3
OpenStudy (anonymous):
Because they add together to equal 11.. isnt that what you do when factoring?
OpenStudy (anonymous):
correct
(x + 3)(x + 8) = 0
now
what will make this function true?
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OpenStudy (anonymous):
I don't really know what to do from this point.
OpenStudy (anonymous):
(x + 3)(x + 8) = 0
x = -3
(-3 + 3)(x + 8) = 0
0(x + 8) = 0
right?
OpenStudy (anonymous):
Why does x= -3
OpenStudy (anonymous):
to make the function = 0
you need 0*a=a
so -3 + 3 = 0
and -8 +8 =0
OpenStudy (anonymous):
okay. . .
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OpenStudy (anonymous):
Okay, I understand now, so the solutions are -3 and 8?
OpenStudy (anonymous):
the question is not asking for factoring it asks for the solution
(x + 3)(x + 8) = 0 is factoring
but how to make the left hand side equal to zero
OpenStudy (anonymous):
why 8?
OpenStudy (anonymous):
Because thats how I saw it in the equation, is it not 8?
OpenStudy (anonymous):
ok lets plug it
x= 8
(x + 3)(x + 8) = 0
(8 + 3)(8 + 8) = 0
(11)(16) = 0 ? is it true?
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OpenStudy (anonymous):
oh, no.
OpenStudy (anonymous):
So its -8
OpenStudy (anonymous):
you got it
-3,-8
OpenStudy (anonymous):
Okay, thank you so much.
OpenStudy (camzzzie):
1. a
2.c
3.a
4.d
5.d
100% qc
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OpenStudy (dayianaforever):
yeah she's right just try it
OpenStudy (anonymous):
She is right i just got it right
OpenStudy (anonymous):
100% CORRECT