SOLUTION: solve equation a+4 over 2 equals a+4 over a

SOLUTION: solve equation a+4 over 2 equals a+4 over a

Algebra.Com

Question 120850:
solve equation a+4 over 2 equals a+4 over a
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
(a+2)/2=(a+2)/a cross multiply
a(a+2)=2(a+2)
a^2+2a=2a+4
a^2+2a-2a-4=0
a^2-4=0
(a-2)(a+2)=0
a-2=0
a=2 answer.
a+2=0
a=-2 answer.
proof
(2+2)/2=(2+2)2
4/2=4/2
2=2
(-2+2)/2=(-2+2)/-2
0/2=0/-2
0=0
RELATED QUESTIONS
This is a rational equation. 4 over X plus seven equals 2 over three... (answered by unlockmath)

This is a rational equation. 4 over X plus 7 equals 2 over... (answered by jsmallt9)

c-5 3 ___ = __ c+4 2 This is a fraction c-5 over c+4 equals 3 over... (answered by stanbon)

A. Perform the indicated operation and express the result in simplest form: 3x+24 over... (answered by ankor@dixie-net.com)

6= a over... (answered by tommyt3rd)

Please solve a over thirty six equals three over eight... (answered by rfer)

Solve 5 over 3 minus 2 over x-4 equals 1 over... (answered by stanbon)

I am not understanding two questions on a teacher generated worksheet. The problems are... (answered by stanbon)

I need to solve this equation and state any extraneous solutions. When it says over, it's (answered by frostusna)