Question

Find a quadratic polynomial whose zeroes are 5 +√ and 5-√ .​

Answer 1

Answer: Given zeroes,

5+√2 and 5-√2

Sum of the zeroes=5+√2+5-√2

Sum of the zeroes=10

Product of zeroes=(5+√2)(5-√2)

Product of zeroes=25-2=23

We know that quadratic polynomial is in the form of,

=k{x²-(sum of zeroes)x+product of zeroes}

By putting required values we get,

=k{x²-10x+23}

=x²-10x+23

Hence x²-10x+23 is the required polynomial.

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