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Mathematics 20 Online
OpenStudy (anonymous):

PLEASE HELP ASAP : Solve for x, show all work

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.

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.

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?

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

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

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.

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

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?

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

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