plz help solve (Quad equations...) (1 Viewer)

[vustoxn]

In the quadratic equation
(K - 2)X^2 - 5X + 2K + 3 = 0
The roots are reciprocals of each other. Find the vale of K.

The answer is ment to be K= -5

I dont understand how to solve the question... please help =]

 

[Timothy.Siu]

In the quadratic equation
(K - 2)X^2 - 5X + 2K + 3 = 0
The roots are reciprocals of each other. Find the vale of K.

The answer is ment to be K= -5

I dont understand how to solve the question... please help =]

let roots be a and 1/a
a+1/a=5/(k-2)

ax1/a=(2k+3)/(k-2)=1
2k+3=k-2
k=-5

ok, so u dont need the first equation

 

[vustoxn]

Thank you so much! it had me fustrated! ^_^
thanks a bunch