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Question

If αβ are the roots of the equation x25x+6=0, then the value of α2β2 is:


A
±5
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B
±13
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C
±6
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D
±7
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Solution

The correct option is A ±5
The given quadratic equation x25x+6=0 can be factorised as:
x23x2x+6=0
x(x3)2(x3)=0
(x3)(x2)=0
x=3,2

If α=3 and β=2 , then  α2β2=94=5
If α=2 and β=3  , then  α2β2=49=5 
 

Mathematics

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