SOLUTION: √p+10 - √p−5 = √3+p . Find the value of P

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Question 1085272: √p+10 - √p−5 = √3+p . Find the value of P
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28p%2B10%29+-+sqrt%28p-5%29+=sqrt%283%2Bp%29.........square both sides

%28sqrt%28p%2B10%29+-+sqrt%28p-5%29%29%5E2+=%28sqrt%283%2Bp%29%29%5E2



p%2B10-2sqrt%28p%2B10%29+%2A+sqrt%28p-5%29%2B+p-5=3%2Bp

2p%2B5-2sqrt%28%28p+-+5%29+%28p+%2B+10%29%29=3%2Bp

2p%2B5-3-p=2sqrt%28%28p+-+5%29+%28p+%2B+10%29%29

p%2B2=2sqrt%28%28p+-+5%29+%28p+%2B+10%29%29.........square both sides

%28p%2B2%29%5E2=%282sqrt%28%28p+-+5%29+%28p+%2B+10%29%29%29%5E2

p%5E2%2B4p%2B4=4+%28p+-+5%29+%28p+%2B+10%29

p%5E2%2B4p%2B4=+4p%5E2+%2B+20+p+-+200

+4p%5E2+-p%5E2%2B+20+p-4p+-+200-4=0

+3p%5E2%2B+16p+-+204=0...factor
%28p+-+6%29+%283+p+%2B+34%29+=+0
solutions:
%28p+-+6%29+=+0->highlight%28p=6%29
%283+p+%2B+34%29+=+0->p=-34%2F3-> disregard negative solution if you given sqrt