Question

Form a a quadratic equation when sum of roots = √5 and product of roots is √7​

Answer 1

Answer:

Sum of roots =7+2

5

+7−2

5

=14

Product of roots =(7+2

5

)(7−2

5

)=49−20=29

Required equation,

x

2

− (sum of roots) x+product of roots=0

⟹x

2

−14x+29=0

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Answer 2

Answer:

x²-√5x+√7

Step-by-step explanation:

Let a and b be the zero of the required polynomial f(x)

Then (a+b) = √5

and ab = √7

f(x)= x² - (a+b)x + ab

f(x)= x²-√5x+√7

Hope this helps you