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Question

Find the quadratic equation whose roots are 6+33 and 633 .

A
x216x+9=0
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B
3x212x+11=0
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C
6x24x+1=0
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D
7x24x+11=0
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Solution

The correct option is B 3x212x+11=0
Let α & β be the roots.
Sum of roots, α+β=6+33+633 =123=4

Product of roots, αβ=6+33×633=62(3)29αβ=3639=339=113

Required equation x2(α+β)x+(αβ)=0 =x24x+113=0

Multiplying by 3

3x212x+11=0

the required quadratic equation is 3x212x+11=0.

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