Mathematics
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OpenStudy (anonymous):
quadractic formula: x^2-3x=18? will someone help
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OpenStudy (anonymous):
You want to get an equation that equals 0, so you subtract 18 for both sides
OpenStudy (anonymous):
x^2-3x-18=18-18
x^2-3x-18=0
OpenStudy (anonymous):
You can factor this, but do you want to use the quadratic formula?
OpenStudy (anonymous):
yes. the quadratic form please
OpenStudy (anonymous):
\[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]
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OpenStudy (anonymous):
We have the quadratic in the form ax^2+bx+c=0
OpenStudy (anonymous):
Can you identify a, b, c?
OpenStudy (anonymous):
a=1 b=3 c=-18?
OpenStudy (anonymous):
a=1, b=-3, c=-18, don't forget your signs
OpenStudy (anonymous):
so now we can plug these numbers into the quadratic formula
\[x=\frac{3 \pm \sqrt{(-3)^2-4(1)(-18)}}{2(1)}\]
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OpenStudy (anonymous):
why is the 3 positive?
OpenStudy (anonymous):
\[x=\frac{3 \pm \sqrt{9+72}}{2}=\frac{3 \pm \sqrt{81}}{2}=\frac{3 \pm 9}{2}\]
OpenStudy (anonymous):
the 3 is positive because its -b
OpenStudy (anonymous):
-(-3)=3
OpenStudy (anonymous):
ok. i c now.thank you.
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OpenStudy (anonymous):
yw
OpenStudy (anonymous):
one more question?
OpenStudy (anonymous):
sure
OpenStudy (anonymous):
i have an imaginary number question... when solving the problem my answer is 3i+6/9. Do I reduce both numbers by 3 resulting answer would be i+2/3
OpenStudy (anonymous):
\[\frac{3i+6}{9} or 3i+\frac{6}{9}\]
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OpenStudy (anonymous):
1st one or second one?
OpenStudy (anonymous):
1stt
OpenStudy (anonymous):
\[\frac{3(i+2)}{9}\]
Yes, you can reduce to
\[\frac{i+2}{3}\]
OpenStudy (anonymous):
okay. thanks
OpenStudy (anonymous):
you're welcome