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Form the quadratic equation,one of whose...

Form the quadratic equation,one of whose root is 2+`sqrt3`

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If one of the root is `alpha`=2+`sqrt3` (given)
then the other root will be `Beta`=2-`sqrt3`
Hence the quadratic equation will be
`(x+alpha)(x+Beta)=0or x^2-(alpha+Beta)x+alphabeta=0`
i.e., `x^2-4x+1=0`
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  2. Solve x^2+x+1/(sqrt2)=0

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  5. If alpha and Beta are roots of ax^2+bx+c=0,find the value of (aalpha+b...

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  7. Prove that the roots of ax^2+2bx+c=0 will be real and distinct if and...

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  10. Solve for x: log(a)x+log(x)a=2

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