Complete the following activity to form quadratic equation whose one of the root is
5√2+2√3
Solution : If one of the root is 5√2+2√3 = α then conjugate root is = β
∴ α + β = 5√2+2√3 + = 10 √2
α β = ( 5√2)2 –( )2
= 50 -
α β =
Using quadratic equation: x^
2
- ___ x +____= 0
Therefore required quadratic equation is _________
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Answer:
answer is 64
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