Algebra and Applications Test 2

Question : 8 of 40

Marks: +1, -0

What is the nature of the roots of the equation

Uz^2 - (U - V) z - V = 0

where U, b are integers and U ≠ 0?

Solution:

The given equation is

Uz^2 - (U - V) z - V = 0.

D = [- (U - V)]^2 - 4 (U) (-V)

= (U - V)^2 + 4UV

= (U + V)^2

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