Question

Find a quadratic equation whose roots are 7 - √5 and 7 + √5.​

Answer 1

Step-by-step explanation:

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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=