anonymous
  • anonymous
Simplify 2x + 10 / x^2 + 4x – 5 X + 5 / x – 1 2 / x – 1 2(x + 5) / x – 1 2 / x
Mathematics
katieb
  • katieb
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hartnn
  • hartnn
can you factor x^2 + 4x – 5 ?
anonymous
  • anonymous
forgot
hartnn
  • hartnn
what are the 2 numbers with sum =4 and product = -5 ?

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anonymous
  • anonymous
4x and -5
hartnn
  • hartnn
you mean 4 and -5 ? not really...
anonymous
  • anonymous
ok
hartnn
  • hartnn
try again ?
anonymous
  • anonymous
2 and 10
hartnn
  • hartnn
2+10 =4 ?
hartnn
  • hartnn
and one of the number will be negative.
anonymous
  • anonymous
oh 2x and x^2 = 4
anonymous
  • anonymous
10 - 5 = 5
hartnn
  • hartnn
what about +5 and -1 ?
anonymous
  • anonymous
4
hartnn
  • hartnn
will those give sum =4 and product = -5 ?
anonymous
  • anonymous
yes
hartnn
  • hartnn
so, we split the middle term 4x = 5x-x
anonymous
  • anonymous
ok
hartnn
  • hartnn
x^2+5x-x-5 =0 x(x+5)-1 (x+5) =0 factor out x+5 from that, what u get ?
anonymous
  • anonymous
ok so im gonna have (x + 5) and also -1
hartnn
  • hartnn
and there was +x in the beginning also, right ? so , you have (x-1)(x+5) as your denominator, ok ? what about numerator 2x+10 factor out 2, what u get ?
anonymous
  • anonymous
12x
hartnn
  • hartnn
how ?
anonymous
  • anonymous
well adding them both together
hartnn
  • hartnn
you can't add 2x to 10 2x has 'x' in it, its variable, 10 is a constant
anonymous
  • anonymous
oh srry
anonymous
  • anonymous
im not sure then
hartnn
  • hartnn
2*x+10 = 2*x+2*5 2 is common, factoring it out, 2 (x+5) got this ?
anonymous
  • anonymous
yup
hartnn
  • hartnn
numerator = 2 (x+5) denominator = (x-1)(x+5) what gets cancelled out ?
anonymous
  • anonymous
x + 5
hartnn
  • hartnn
what remains ?
anonymous
  • anonymous
2 / x - 1
hartnn
  • hartnn
thats your answer :)
anonymous
  • anonymous
thank you for all your help
hartnn
  • hartnn
welcome ^_^

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