Latest Infosys Aptitude Question SOLUTION: What is the product of the irrational roots of the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?

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What is the product of the irrational roots of
the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?

Asked In Infosys (13 years ago)

Unsolved Read Solution (2)

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Read Solution (2) :

shiva gurram  (9 years ago)

Let 2x - 4 = y
=> (y + 3) (y + 1) (y - 1) (y - 3) = 9
=> (y^2 - 1) (y^2 - 9) = 9
=> y^4 - 10y^2 + 9 = 9
=> y^2 (y^2 - 10) = 0
=> y = 0 or ± √(10)
=> 2x - 4 = ± √(10)
=> x = (1/2) [4 ± √(10)]
=> product of the irrational roots
= (1/2)^2 * [4 + √(10)] [4 - √(10)]
= (1/4) * 6
= 3/2.

Is this solution Helpfull? Yes (3) | No (3)  

Bondada Manideepika  (9 years ago)

x=2
its results 9

Is this solution Helpfull? Yes (1) | No (1)  

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