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Question

If α, β are the roots of the equation x25x+6=0, 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
Given quadratic equation x25x+6=0
a = 1, b = -5, c = 6

x=b±b24ac2a
x=(5)±(5)24(1)(6)2(1)
x=5±25242
x=5±12
x=3,2

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

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