Question

Find the quadratic equation whose roots are √7-2 and √7+3

Answer 1

Step-by-step explanation:

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