the quadratic equation whose roots are twice the roots of 2 x square - 5 x + 2 is equal to zero is
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Answer:
Letαandβbetherootofthegivenequation.
Then,α+β=
2
5
andαβ=
2
2
=1
∴2α+2β
∴(α+β)
∴5(2α)(2β)=4
So the required equation is:
x 2 −5x+4=0
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