Mathematics
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OpenStudy (anonymous):
if the ratio of the roots of ax^2+bx+c=0 is equal to the roots of the equation x^2+x+1=0
then a,b,c are in
a)A.P
b)GP
c)HP
d)none
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OpenStudy (shubhamsrg):
ratio of roots of ax^2+bx+c=0 is equal to the _______ roots of the eqn x^2+ x+1 =0
am assuming in the blank space there should be "ratio of" ?
OpenStudy (anonymous):
i didn't get u
OpenStudy (anonymous):
\[ratio= 1:x\]
\[a=1\times x\]
\[b=1\times x\]
\[c=1\times x\]
OpenStudy (anonymous):
Isn't the answer d?
OpenStudy (anonymous):
What's HP?
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OpenStudy (anonymous):
harmonic progression
OpenStudy (anonymous):
It's to do with sum and prodcut of roots.
OpenStudy (anonymous):
product*
OpenStudy (anonymous):
\[\frac{ -b }{ a }=1\]
\[\frac{ c }{ a }=1\]
OpenStudy (anonymous):
The first one was meant to be -1
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OpenStudy (anonymous):
not 1.
OpenStudy (anonymous):
k
OpenStudy (anonymous):
Did a typo sorry.
OpenStudy (anonymous):
it's k
OpenStudy (anonymous):
so it is not making an AP. not GP not HP....so answer is none
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OpenStudy (anonymous):
Yeah I'm pretty sure it is.
OpenStudy (anonymous):
Do you have the answers? If you do, check it to see if I was correct or not.
OpenStudy (anonymous):
r u sure that statement is correct, becoz ac. to @shubhamsrg something is missing in the statement
OpenStudy (anonymous):
He thought there was a ratio given. for example.
1:2 or 3:7 etc.
OpenStudy (anonymous):
k
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OpenStudy (anonymous):
No worries.
OpenStudy (anonymous):
thank u @Azteck