SOLUTION: Please answer many as you can - Thank You Solve the equation 5) 2b - 5 over b-2 minus 2 equal 3 over b + 2 2b-5/b-2 - 2 = 3/b+2 6) Radical -45+14n = n 7) -n + radical 16n+

Algebra ->  Radicals -> SOLUTION: Please answer many as you can - Thank You Solve the equation 5) 2b - 5 over b-2 minus 2 equal 3 over b + 2 2b-5/b-2 - 2 = 3/b+2 6) Radical -45+14n = n 7) -n + radical 16n+      Log On


   

Question 802559: Please answer many as you can - Thank You

Solve the equation
5) 2b - 5 over b-2 minus 2 equal 3 over b + 2
2b-5/b-2 - 2 = 3/b+2
6) Radical -45+14n = n
7) -n + radical 16n+19 = 2
Thank You again
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
5) 2b - 5 over b-2 minus 2 equal 3 over b + 2
%28%282b-5%29%2F%28b-2%29%29-2=+3%2F%28b%2B2%29

%28%282b-5%29%2F%28b-2%29%29-+3%2F%28b%2B2%29=2

LCD = b%5E2-4

%282b-5%29%28b%2B2%29-3%28b-2%29=2%28b%5E2-4%29

2b%5E2%2B4b-5b-10-3b%2B6=2b%5E2-8

-4b=-4
b=1
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6) Radical -45+14n = n

sqrt%28-45%2B14n%29=n
square both sides
-45%2B14n=n%5E2
n%5E2-14n%2B45=0
n%5E2-9n-5n%2B45=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%2816n%2B19%29=n%2B2
square
16n%2B19+=+%28n%2B2%29%5E2
16n%2B19=n%5E2%2B4n%2B4
n%5E2-12n-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%28%0961%09%29= 7.81
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 7.81
x1=( 1 + )/ 2
x1= 4.41 ) /
x2=( 1 -7.81 2
x2= -3.41