Question 802559
5) 2b - 5 over b-2 minus 2 equal 3 over b + 2

{{{((2b-5)/(b-2))-2= 3/(b+2)}}}


{{{((2b-5)/(b-2))- 3/(b+2)=2}}}


LCD = {{{b^2-4}}}


{{{(2b-5)(b+2)-3(b-2)=2(b^2-4)}}}


{{{2b^2+4b-5b-10-3b+6=2b^2-8}}}


-4b=-4

b=1

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6) Radical -45+14n = n


{{{sqrt(-45+14n)=n}}}

square both sides

{{{-45+14n=n^2}}}

{{{n^2-14n+45=0}}}

{{{n^2-9n-5n+45=0}}}

n(n-9)-5(n-9)=0

(n-9)(n-5)=0

n=9 OR 5
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7) -n + radical 16n+19 = 2

{{{sqrt(16n+19)=n+2}}}

square

{{{16n+19 = (n+2)^2}}}

{{{16n+19=n^2+4n+4}}}

{{{n^2-12n-15=0}}}

Find the roots of the equation by quadratic formula							
			-1				
a=	1	b=	-12	c=	-15		
			-60				
b^2-4ac=	1	-					
b^2-4ac=	61			{{{sqrt(	61	)}}}=	7.81
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}							
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}			7.81				
x1=(	1	+		)/	2		
x1=	4.41		) /				
x2=(	1	-7.81		2			
x2=	-3.41