anonymous
  • anonymous
sqrt of x + 2 minus 7 = sqrt of x + 9
Precalculus
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Jhannybean
  • Jhannybean
\[\large \sqrt{x+2}-7 = \sqrt{x+9}\]?
anonymous
  • anonymous
Yep
Jack1
  • Jack1
first, do no harm 2nd, square everything what'd jew get?

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More answers

anonymous
  • anonymous
Do I square the 7 too?
Jhannybean
  • Jhannybean
\[\large \sqrt{x+2}-7 = \sqrt{x+9}\] square everything on both sides to get rid of the square root \[\large (\sqrt{x+2}-7)^2=(\sqrt{x+9})^2\]\\[\large (\sqrt{x+2}-7)(\sqrt{x+2}-7)=x+9\]foil method \[\large (\sqrt{x+2})(\sqrt{x+2})-(\sqrt{x+2})(7)-(7)(\sqrt{x+2})-(7)(-7)=x+9\] Simplify \[\large x+2-7\sqrt{x+2}-7\sqrt{x+2}+49=x+9\]
Jack1
  • Jack1
@Jhannybean that seems kinda longhand ... why not:
Jhannybean
  • Jhannybean
haha that's how i am able to check D:
Jhannybean
  • Jhannybean
after im done :(
anonymous
  • anonymous
lol
Jhannybean
  • Jhannybean
\[(\sqrt{x+2})(\sqrt{x+2})-(\sqrt{x+2})(7)-(7)(\sqrt{x+2})-(7)(-7)=x+9\]\[x+2-14\sqrt{x+2}+49=x+9\]\[x-14\sqrt{x+2}+52=x+9\]\[-14\sqrt{x+2}=-43\] bleh.
Jhannybean
  • Jhannybean
Shall i just....delete my posts...<_<
anonymous
  • anonymous
no!!
anonymous
  • anonymous
I'm definitely copying as we speak, lmao
.Sam.
  • .Sam.
No solution
Jhannybean
  • Jhannybean
oh LOL
anonymous
  • anonymous
How is it no solution O_o
anonymous
  • anonymous
Ohmahgerd D;
Jhannybean
  • Jhannybean
@.Sam. just throws out an answer :P
anonymous
  • anonymous
Yes, so helpful. Not.
Jack1
  • Jack1
yeah, my math didn't work out... thought i'd done something wrong hey sorry @Jhannybean ... Jack's bad
anonymous
  • anonymous
Hey @Jhannybean what would the final answer be for x or did you get it lol
Jhannybean
  • Jhannybean
lol what? xD i think @Jack1 has it :P
Jack1
  • Jack1
no it doesnt work LHS = x + 51 - (14(sqrt(x+2)) RHS = x+9
Jhannybean
  • Jhannybean
continuing from \[\large -14\sqrt{x+2}=-43\]\[\large \sqrt{x+2}=\frac{43}{14}\] square both sides \[(\sqrt{x+2})^2=(\frac{43}{14})^2\]\[\large x+2=\frac{1849}{196} \implies x= \frac{1457}{196}\] that's not right, i believe.
Jhannybean
  • Jhannybean
I don't even know anymore.
Jack1
  • Jack1
but does that work again in the initial eqn?
Jack1
  • Jack1
sqrt of x + 2 minus 7 = sqrt of x + 9 -55/14 = 4.0538 ish -3.929 does not equal 4.0538 ish
Jhannybean
  • Jhannybean
OMG SO CLOSE.STUPID NEGATIVE SIGN.
.Sam.
  • .Sam.
I don't think that's the answer, try substituting it in, see if LHS = RHS
Jack1
  • Jack1
... i just did that
Jack1
  • Jack1
why do u hate me @.Sam. ...?
Jhannybean
  • Jhannybean
xDDD
.Sam.
  • .Sam.
I didn't, I just have a different thinking :)
Jack1
  • Jack1
is it coz i'm black?
Jack1
  • Jack1
:)
.Sam.
  • .Sam.
Lol, I don't even know that
.Sam.
  • .Sam.
and what's wrong with black?
Jhannybean
  • Jhannybean
LOL REVELATION?
anonymous
  • anonymous
Lmao okay next problem is sqrt of 2x+1 + qrt of 2x+6 = 5
.Sam.
  • .Sam.
\[[(\sqrt{x+2}-\sqrt{x+9})]^2=7^2 \\ \\ (x+2)-2\sqrt{(x+2)(x+9)}+(x+9)=49 \\ \\ 2x+11-2\sqrt{(x+2)(x+9)}=49 \\ \\ 2(x-\sqrt{(x+2)(x+9)})+11=49 \\ \\ x-\sqrt{(x+2)(x+9)}=19 \\ \\ (x-19)^2=(x+2)(x+9) \\ \\ 20=58x \\ \\ x=\frac{10}{29}\]
.Sam.
  • .Sam.
See, \(LHS \neq RHS\)
saifoo.khan
  • saifoo.khan
Jaan needs a sleep. She has been making mistakes all day.
Jhannybean
  • Jhannybean
=_=
Jack1
  • Jack1
she just wrote like 3 pages of squiggly equation posts, she deserves shiny shiny medals
Jack1
  • Jack1
@randomguy111 prettys sure your post's been hijacked, may want to close and pop ur new q in a new post...?

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