Mathematics
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OpenStudy (anonymous):
PLEASE HELP ASAP : Solve for x, show all work
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
Start off by squaring both sides to go from
sqrt(8x+1) = 5
to
8x+1 = 25
I'll let you continue
OpenStudy (anonymous):
how did 5 become 25
jimthompson5910 (jim_thompson5910):
5 squared = 5^2 = 5*5 = 25
jimthompson5910 (jim_thompson5910):
I'm squaring both sides to get rid of that square root.
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OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
could you help me with another?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
Start by subtracting 5 from both sides. Then square both sides.
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OpenStudy (anonymous):
\[\sqrt{8x+1}=
5=8x+1=
25=
8x=25-1=
8x=24=
x=24/8=
x=3\]
OpenStudy (anonymous):
if you like my answer please give me medal thanks!
OpenStudy (anonymous):
x - 7 = 22 ?
jimthompson5910 (jim_thompson5910):
11 - 5 = 6, so the right side becomes 6 after you subtract both sides by 5
After squaring both sides, you'll get
x-7 = 36
OpenStudy (anonymous):
i have a few more?
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OpenStudy (anonymous):
yes you can ask!
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
Divide both sides by -4, then square both sides.
jimthompson5910 (jim_thompson5910):
Remember to check your final answer.
OpenStudy (anonymous):
i cant set this problem up
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jimthompson5910 (jim_thompson5910):
Divide the right side by -4 to get ???
OpenStudy (anonymous):
-5
jimthompson5910 (jim_thompson5910):
good so
sqrt(x+9) = -5
then square both sides
OpenStudy (anonymous):
x + 9 = 25
jimthompson5910 (jim_thompson5910):
good, now solve for x
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jimthompson5910 (jim_thompson5910):
remember to check your answer (it's always a good idea to check your answer)
OpenStudy (anonymous):
thank you, i have 2 more?
jimthompson5910 (jim_thompson5910):
sure
OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
Square both sides. This will effectively get rid of both square roots.
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OpenStudy (anonymous):
6x + 25 = 53
jimthompson5910 (jim_thompson5910):
yes, now solve for x
jimthompson5910 (jim_thompson5910):
oh wait, it's 6x+5 = 53
jimthompson5910 (jim_thompson5910):
you don't square the 5
OpenStudy (anonymous):
last one
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
sqrt(x+2)+4=x
sqrt(x+2)=x-4
x+2=(x-4)^2
x+2=x^2-8x+16
0=x^2-8x+16-x-2
0=x^2-9x+14
x^2-9x+14=0
I'll let you finish
jimthompson5910 (jim_thompson5910):
Remember to check your answers
OpenStudy (anonymous):
why so long?
jimthompson5910 (jim_thompson5910):
what do you mean?
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OpenStudy (anonymous):
the other ones didn't have as many steps
jimthompson5910 (jim_thompson5910):
this one has more steps because squaring the right side means you use the FOIL rule
OpenStudy (anonymous):
x^2-9x+14=0
by factorizing
x^2-2x-7x+14=0
x common and 7 common
x(x-2)-7(x-2)
x-2 bracket is common then
(x-2)(x-7)=0
now
x-2=0
x=2
or
x-7=0
x=7