Math, asked by vishnurajD, 1 year ago

find a quadratic polynomial whose sum and product of zeroes are
2 \sqrt{3}
And
 - 5 \sqrt{3}

Answers

Answered by gaurav2013c
1

sum \: of \: zeroes \:  = 2 \sqrt{3} \\  \\ product \: of \: zeroes \:  =  - 5 \sqrt{3}   \\
Required polynomial = x^2 - (sum of zeroes)x + Product of zeroes

 =  {x}^{2}  - 2\sqrt{3} x - 5 \sqrt{3}
Answered by Panzer786
4
Hii friend,

alpha + bet = 2✓3

Alpha × Beta = -5✓3

Therefore,


Quadratic polynomial = X²-(Alpha+Beta)X + Alpha × Beta

= X²-(2✓3)X + (-5✓3)

= X²-2✓3X - 5✓3 is the required polynomial.


HOPE IT WILL HELP YOU..... :-)
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