Solve each Equation

sana125

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May 20, 2005
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18
Solve each Equation:

x(x-2)=3

14/x^2-1 + 1/x-1 = 3/x+1

3x^2 + 2x +2 = 0

Please help me to solve these equation......Thanks!
 
x(x-2)=3 is equivalent to x(x-2)-3=0, or x^2-2x-3=0, which means (simply by inspection) that x=-1 or x=3
 
sana125 said:
14/x^2-1 + 1/x-1 = 3/x+1
Think about the Domain: x != 1 and x!= -1
Find a common denominator: (x+1)*(x-1)
Add the fractions and see what pops up.

3x^2 + 2x +2 = 0
Do we get to use Imaginary numbers?
The Quadratic Formula will ALLWAYS tell you both solutions.

b<sup>2</sup> - 4*a*c = 2<sup>2</sup> - 4*3*2 = 4 - 24 = -20

If we're stuck with Real numbers, we're done. Why?
 
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