the equation whoose roots are half of roots of the equation 2x^2 +5x+4=0
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Step-by-step explanation:
Given quadratic equation is x
2
−2x+4=0
Let α and β be the roots of the equations.
Thus α+β=2,αβ=4
∴2α+2β=4,4αβ=16
Therefore, the equation is x
2
−4x+16=0
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