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Question

If the sum of the roots of a quadratic equation is 5 and the product of the roots is also 5, then the equation can be x2−5x+5=0.


A

True

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B

False

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Solution

The correct option is A

True


For a quadratic equation ax2+bx+c=0,

sum of roots = ba

product of roots = ca.

sum of roots = 5 = ba

product of roots = 5 = ca,

Thus, quadratic equation is x25x+5=0.


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