Solve each Equation

[sana125]

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!

 

[elchichita]

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

 

[tkhunny]

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.

b² - 4*a*c = 2² - 4*3*2 = 4 - 24 = -20

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

 

[sana125]

Tkhunny and elchichita,

this is helps!

Thanks for your input!