anonymous
  • anonymous
I WILL FAN AND MEDAL. What is the quotient in simplified form? State any restrictions on the variable. --> g-6 over g+2 / g+4 over g^2-g-6
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
@Abhisar @ganeshie8 @Nnesha Any help ? Didn't understand at all
anonymous
  • anonymous
Nnesha
  • Nnesha
\[\huge\rm \frac{ \frac{ g- 6}{ g+2 } }{ \frac{ g+4 }{\color{red}{ g^2-g-6}} }\] like this ?

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anonymous
  • anonymous
nope, put the g+4 over g^2-g-6 at the right with the division sign in the middle @Nnesha
Nnesha
  • Nnesha
same thing :=)
Nnesha
  • Nnesha
\[\huge\rm \frac{ \frac{ g- 6}{ g+2 } }{ \frac{ g+4 }{\color{red}{ g^2-g-6}} }=\frac{g-6}{g+2}\div\frac{g+4}{g^2-g+6}\]
Nnesha
  • Nnesha
1st) try to factor out the equation g^2-g-6 how would you find factors of quadratic equation ?
anonymous
  • anonymous
i dont know tbh @Nnesha
Nnesha
  • Nnesha
find two number when you multiply them you should get product of AC when you add or subtract the same two numbers you should get middle term a ,c and middle term is \[\rm Ax^2+Bx+C\]quadratic equation where a= leading coefficient b=middle term c=constant so what is a b and c in this equation g^2-g+6 ?
anonymous
  • anonymous
a=1. b=1 and c=-6 ?
Nnesha
  • Nnesha
b=-1 b is negative so ac = -6 what two numbers you should multiply to get -6 but when you `add` them you should get -1
anonymous
  • anonymous
-3 and 2
Nnesha
  • Nnesha
yes right so (g-3)(g+2) are factors of that equation \[\huge\rm \frac{g-6}{g+2}\div\frac{g+4}{(g-3)(g+2)}\] now change division to multiplication multiply first fraction with the `reciprocal` of the 2nd fraction
Nnesha
  • Nnesha
i'll give u an example
Nnesha
  • Nnesha
\[\huge\rm \frac{ a }{ b } \div \frac{ d }{ c }=\frac{ a }{ b } \times \frac{ c }{ d }\]
anonymous
  • anonymous
i give up i dont understand haha i just need the answer tbh
Nnesha
  • Nnesha
it's not that hard just flip the 2nd fraction and then change division sign to multiplication that's it
Nnesha
  • Nnesha
if i have 2/3 then its reciprocal would be 3/2

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