anonymous
  • anonymous
Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1. x = −2 x = −6 and x = −5 x = −6 and x = −2 x = 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Hero @pooja195 @Nnesha
Nnesha
  • Nnesha
\[\huge\rm \sqrt{x+6}-5=x+1\]like this ?
anonymous
  • anonymous
ya

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More answers

Nnesha
  • Nnesha
first we need to get rid of `-5` from left side so move -5 to the right side how would you do that ? would you add ,subtract ,multiply or divide ?
anonymous
  • anonymous
add
Nnesha
  • Nnesha
yes right add 5 both sides
Nnesha
  • Nnesha
what did you get ?
anonymous
  • anonymous
6
Nnesha
  • Nnesha
yes right so \[\sqrt{x+6}=x+6\] now take square both sides to cancel out the square root \[\huge\rm (\sqrt{x+6})^2= (x+6)^2\]
Nnesha
  • Nnesha
square root and square cancel each other out you will get x+6 at left side now foil (X+6)^2 (X+6)^2 is same as (x+6)(x+6) multiply
anonymous
  • anonymous
sorry my internet is being slow
Nnesha
  • Nnesha
it's okay take ur time :=)
anonymous
  • anonymous
x^2+36
Nnesha
  • Nnesha
no that's not right there is a plus sign so you should get 3 terms
Nnesha
  • Nnesha
|dw:1441907589514:dw| multiply top two terms with the left side write ur answer in the box
anonymous
  • anonymous
x^2+12X+36?
Nnesha
  • Nnesha
yes right |dw:1441907646624:dw| so \[\huge\rm x+6 =x^2+12x+36\]set it equal to zero move x+6 to the right side
anonymous
  • anonymous
so can i use the quadratic equation to get the answer?
anonymous
  • anonymous
wait nvm
Nnesha
  • Nnesha
yes right!
anonymous
  • anonymous
so i could take out 6 times 6 out of 36
Nnesha
  • Nnesha
hmm now you can't take out 6 first move x+6 to the right side then you will qudratic equation
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
so once i move X+6 over it would be X^2 +11X+30 right
Nnesha
  • Nnesha
looks good
anonymous
  • anonymous
and i could pull 5 times 6 out of 30
Nnesha
  • Nnesha
yes right find two numbers when you multiply them you should get product of AC ( a =leading coefficient , c= constant term) and when you add or subtract them you should get middle term
Nnesha
  • Nnesha
so 5 times 6= 30 5+6=11 good to go right your answer as (x+ 1st #)(x +2nd #)
anonymous
  • anonymous
so would it B then as my answer?
Nnesha
  • Nnesha
yes right!
anonymous
  • anonymous
ya!!
anonymous
  • anonymous
thank you
Nnesha
  • Nnesha
wait a sec plz
anonymous
  • anonymous
im here
Nnesha
  • Nnesha
nvm yes B is correct!
anonymous
  • anonymous
ok thank you
Nnesha
  • Nnesha
np :=)

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