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Q.

If the sum of the roots is 2 and the product of roots is 5, then the quadratic equation is


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a

x2+2x+5=0

b

x2-2x-5=0

c

x2+2x-5=0

d

x2-2x+5=0  

answer is D.

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Detailed Solution

Given that the sum of the roots of a quadratic equation is 2 and the product of roots is 5.
We know that the general form of a quadratic equation in x is given by,
x2-(sum of the roots) x+(product of the roots) =0.
Therefore, substituting the values in the general form of the equation, we get,
x2-2x+5=0
∴x2-2x+5=0 is the quadratic equation.
Hence, option 4 is correct.
 
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