Question

find the quadratic polynomial the sum of whose roots are √2 +5 and 1/√2-5

Answer 1

give us...two roots √2+5 and 1/√2 -5
so,{ X-(√2+5)} {X -(1/√2+5)}
there for...
X{x-(1/√2+5)} - (√2 +5){x - 1/√2+5}
now it calculated and at last we find the quadratic polynomial is 5√2x² - 12√2x +20√2=0
now we divide √2 ,then 5x²-12x+20=0
that is the ans your qsn.
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