Question

Frame the equation from the roots of the equation.
2-3√5, 2+3√5
​

Answer 1

Answer:

Let 'm' and 'n' be the roots ∴m=3+2  

5

​  

 and n=3−2  

5

​  

 

Sum of the roots =m+n=3+2  

5

​  

+3−2  

5

​  

∴m+n=6

Product of the roots =mn=(3+2  

5

​  

)(3−2  

5

​  

)=(3)  

2

−(2  

5

​  

)  

2

=9−20∴mn=−11

x  

2

−(m+n)x+mn=0∴x  

2

−6x−11=0

Step-by-step explanation:

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