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

vustoxn

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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

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vustoxn said:
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

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

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