Math, asked by SuperMaxAli3226, 7 months ago

The quadratic equation whose one rational root is 3 + √2 is * 1 point

Answers

Answered by Mashalbaigo
1

Answer:

For the quadratic equation if one root is 2+  

3

​  

 

Other root is 2−  

3

​  

 

Sum of roots=2+  

3

​  

+2−  

3

​  

=4

Product of roots=(2+  

3

​  

)(2−  

3

​  

)=4−3=1

∴Quadratic equation is x  

2

−4x+1=0

HOPE HELPFUL!!

Answered by shashiawasthi069
2

Answer:

first root is 3 + √2

then second root be 3 -√2

sum of roots = a+B

= 3 + √2+3 -√2

= 6

product of roots = aB

= (3 + √2)(3 -√2)

= 9-2

= 7

quadratic equation is

x^2 - (sum of roots)x + product of roots =0

x^2 -6x +7 =0

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